Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

Balbharti Maharashtra State Board 11th Chemistry Textbook Solutions Chapter 7 Modern Periodic Table Textbook Exercise Questions and Answers.

Maharashtra State Board 11th Chemistry Solutions Chapter 7 Modern Periodic Table

1. Explain the following

Question A.
The elements Li, B, Be and N have the electronegativities 1.0, 2.0, 1.5, and 3.0, respectively on the Pauling scale.
Answer:

  • Li, B, Be and N belong to the same period.
  • As we move across a period from left to right in the periodic table, the effective nuclear charge increases steadily and therefore, electronegativity increases.

Hence, the elements Li, B, Be and N have the electronegativities 1.0, 2.0, 1.5, and 3.0, respectively on the Pauling scale.

Question B.
The atomic radii of Cl, I and Br are 99, 133 and 114 pm, respectively.
Answer:

  • Cl, I and Br belong to group 17 (halogen group) in the periodic table.
  • As we move down the group from top to bottom in the periodic table, a new shell gets added in the atom of the elements.
  • As a result, the effective nuclear charge decreases due to increase in the atomic size as well as increased shielding effect.
  • Therefore, the valence electrons experience less attractive force from the nucleus and are held less tightly resulting in the increased atomic radius.
  • Thus, their atomic radii increases in the following order down the group.
    Cl (99 pm) < Br (114 pm) < I (133 pm)

Hence, the atomic radii of Cl, I and Br are 99, 133 and 114 pm, respectively.

Question C.
The ionic radii of F and Na+ are 133 and 98 pm, respectively.
Answer:

  • F and Na+ are isoelectronic ions as they both have 10 electrons.
  • However, the nuclear charge on F is +9 while that of Na+ is +11.
  • In isoelectronic species, larger nuclear charge exerts greater attraction on the electrons and thus, the radius of that isoelectronic species becomes smaller.

Thus, F has larger ionic radii (133 pm) than Na+ (98 pm).

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

Question D.
13Al is a metal, 14Si is a metalloid and 15P is a nonmetal.
Answer:

  • Electronic configuration of Al is [Ne] 3s2 3p1, 14Si is [Ne] 3s2 3p2 and that of 15P is [Ne] 3s2 3p3.
  • Metals are characterized by the ability to form compounds by loss of valence electrons.
  • ‘Al’ has 3 valence electrons, thus shows tendency to lose 3 valence electrons to complete its octet. Hence, Al is a metal.
  • Nonmetals are characterized by the ability to form compounds by gain of valence electrons in valence shell.
  • ‘P’ has 5 valence electrons thus, shows tendency to gain 3 electrons to complete its octet. Hence, ‘P’ is a nonmetal.
  • Si has four valence electrons, thus it can either lose/gain electrons to complete its octet. Hence, behaves as a metalloid.

Question E.
Cu forms coloured salts while Zn forms colourless salts.
Answer:

  • Electronic configuration of 29CU is [Ar] 3d104s1 while that of Zn is [Ar] 3d104s2.
  • Electronic configuration of Cu in its +1 oxidation state is [Ar] 3d10 while that in +2 oxidation state is [Ar] 3d9.
  • Therefore, Cu contains partially filled d orbitals in +2 oxidation state and thus, Cu2+ salts are coloured.
  • However, Zn has completely filled d orbital which is highly stable and hence, it does not form coloured ions.

Hence, Cu forms coloured salts while Zn forms colourless salts.

2. Write the outer electronic configuration of the following using orbital notation method. Justify.
A. Ge (belongs to period 4 and group 14)
B. Po (belongs to period 6 and group 16)
C. Cu (belongs to period 4 and group 11)
Answer:
A. a. Ge belongs to period 4. Therefore, n = 4.
b. Group 14 indicates that the element belongs to the p-block of the modem periodic table.
c. The general outer electronic configuration of group 14 elements is ns2 np2.
d. Thus, the outer electronic configuration of Ge is 4s2 4p2.

B. a. Po belongs to period 6. Therefore, n = 6.
b. Group 16 indicates that the element belongs to the p-block of the modem periodic table.
c. The general outer electronic configuration of group 16 elements is ns2 np4.
d. Thus, the outer electronic configuration of Po is 6s2 6p4.

C. a. Cu belongs to period 4. Therefore, n = 4.
b. Group 11 indicates that the element belongs to the d-block of the modem periodic table.
c. The general outer electronic configuration of the d-block elements is ns0-2(n-1)d1-10.
d. The expected configuration of Cu is 4s23d9. However, the observed configuration of Cu is 4s13d10. This is due to the extra stability associated with completely filled d-subshell. Thus, the outer electronic configuration of Cu is 4s13d10.

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

3. Answer the following

Question A.
La belongs to group 3 while Hg belongs to group 12 and both belong to period 6 of the periodic table. Write down the general outer electronic configuration of the ten elements from La to Hg together using orbital notation method.
Answer:
i. La and Hg both belongs to period 6. Therefore, n = 6.
ii. Elements of group 3 to group 12 belong to the d-block of the modem periodic table.
iii. The general outer electronic configuration of the d-block elements is ns0-2 (n -1 )1-10.
iv. Therefore, the outer electronic configuration of all ten elements from La to Hg is as given in the table below.
Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table 1
[Note: There are 14 elements between La and Hf which are called lanthanides. Therefore, after La, electrons are filled in 4f subshell of lanthanide elements. Once all the 14 elements of lanthanide series are filled, next electron enters 5d subshell of Hf. Hence, the outer electronic configurations of Hf to Hg often include completely filled 4f subshell. For example, the electronic configuration of Hf ‘5d26s2’ can also be written as ‘4f145d26s2’.]

Question B.
Ionization enthalpy of Li is 520 kJ mol-1 while that of F is 1681 kJ mol-1. Explain.
Answer:

  • Both Li and F belong to period 2.
  • Across a period, the screening effect is the same while the effective nuclear charge increases.
  • As a result, the outer electron is held more tightly and therefore, the ionization enthalpy increases across a period.
  • Hence, F will have higher ionization enthalpy than Li.

Thus, ionization enthalpy of Li is 520 kJ mol-1 while that of F is 1681 kJ mol-1.

Question C.
Explain the screening effect with a suitable example.
Answer:
i. In a multi-electron atom, the electrons in the inner shells tend to prevent the attractive influence of the nucleus from reaching the outermost electron.
ii. Thus, they act as a screen or shield between the nuclear attraction and outermost or valence electrons. This effect of the inner electrons on the outer electrons is known as screening effect or shielding effect.
iii. Across a period, screening effect due to inner electrons remains the same as electrons are added to the same shell.
iv. Down the group, screening effect due to inner electrons increases as a new valence shell is added.
e.g. Potassium (19K) has electronic configuration 1s22s22p63s23p64s1.
K has 4 shells and thus, the valence shell electrons are effectively shielded by the electrons present in the inner three shells. As a result of this, valence shell electron (4s1) in K experiences much less effective nuclear charge and can be easily removed.

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

Question D.
Why the second ionization enthalpy is greater than the first ionization enthalpy ?
Answer:
The second ionization enthalpy (ΔiH2) is greater than the first ionization enthalpy (ΔiH1) as it involves removal of electron from the positively charged species.

Question E.
Why the elements belonging to the same group do have similar chemical properties ?
Answer:

  • Chemical properties of elements depend upon their valency.
  • Elements belonging to the same group have the same valency.

Hence, the elements belonging to the same group show similar chemical properties.

Question F.
Explain : electronegativity and electron gain enthalpy. Which of the two can be measured experimentally?
Answer:
i. The ability of a covalently bonded atom to attract the shared electrons toward itself is called electronegativity (EN). Electronegativity cannot be measured experimentally. However, various numerical scales to express electronegativity were developed by many scientists. Pauling scale of electronegativity is the one used most widely.

ii. Electron gain enthalpy is a quantitative measure of the ease with which an atom adds an electron forming the anion and is expressed in kJ mol-1. Thus, it is an experimentally measurable quantity.

4. Choose the correct option

Question A.
Consider the elements B, Al, Mg and K predict the correct order of metallic character :
a. B > Al > Mg > K
b. Al > Mg > B > K
c. Mg > Al > K > B
d. K > Mg > Al > B
Answer:
d. K > Mg > Al > B

Question B.
In modern periodic table, the period number indicates the :
a. atomic number
b. atomic mass
c. principal quantum number
d. azimuthal quantum number
Answer:
c. principal quantum number

Question C.
The lanthanides are placed in the periodic table at
a. left hand side
b. right hand side
c. middle
d. bottom
Answer:
d. bottom

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

Question D.
If the valence shell electronic configuration is ns2np5, the element will belong to
a. alkali metals
b. halogens
c. alkaline earth metals
d. actinides
Answer:
b. halogens

Question E.
In which group of elements of the modern periodic table are halogen placed ?
a. 17
b. 6
c. 4
d. 2
Answer:
a. 17

Question F.
Which of the atomic number represent the s-block elements ?
a. 7, 15
b. 3, 12
c. 6, 14
d. 9, 17
Answer:
b. 3, 12

Question G.
Which of the following pairs is NOT isoelectronic ?
a. Na+ and Na
b. Mg2+ and Ne
c. Al3+ and B3+
d. P3 and N3-
Answer:
b. Mg2+ and Ne

Question H.
Which of the following pair of elements has similar properties ?
a. 13, 31
b. 11, 20
c. 12, 10
d. 21, 33
Answer:
a. 13, 31

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

5. Answer the following questions

Question A.
The electronic configuration of some elements are given below:
a. 1s2
b. 1s22s22p6
In which group and period of the periodic table they are placed ?
Answer:
a. 1s2
Here n = 1. Therefore, the element belongs to the 1st period.
The outer electronic configuration 1s2 corresponds to the maximum capacity of 1s, the complete duplet. Therefore, the element is placed at the end of the 1st period in the group 18 of inert gases in the modem periodic table,

b. 1s22s22p6
Here n = 2. Therefore, the element belongs to the 2nd period.
The outer electronic configuration 2s22p6 corresponds to complete octet. Therefore, the element is placed in the 2nd period of group 18 in the modem periodic table.

Question B.
For each of the following pairs, indicate which of the two species is of large size :
a. Fe2+ or Fe3+
b. Mg2+ or Ca2+
Answer:
a. Fe2+ has a larger size than Fe3+.
b. Ca2+ has a larger size than Mg2+.

Question C.
Select the smaller ion form each of the following pairs:
a. K+, Li+
b. N3-, F
Answer:
i. Li+ has smaller ionic radius than K+
ii. F has smaller ionic radius than N3-.

Question D.
With the help of diagram answer the questions given below:
Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table 2
a. Which atom should have smaller ionization enthalpy, oxygen or sulfur?
b. The lithium forms +1 ions while berylium forms +2 ions ?
Answer:
Sulfur should have smaller ionization energy than oxygen.
a. Lithium has electronic configuration 1s22s1 while that of beryllium is 1s22s2.
b. Li can achieve a noble gas configuration by losing one electron while Be can do so by losing two electrons. Hence, lithium forms +1 ions while beryllium forms +2 ions.

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

Question E.
Define : a. Ionic radius
b. Electronegativity
Answer:
a. Ionic radius: Ionic radius is defined as the distance of valence shell of electrons from the centre of the nucleus in an ion.

b. Electronegativity: The ability of a covalently bonded atom to attract the shared electrons toward itself is called electronegativity (EN).

Question F.
Compare chemical properties of metals and non-metals.
Answer:
i. Metals (like alkali metals) react vigorously with oxygen to form oxides which reacts with water to form strong bases.
e. g. Sodium (Na) reacts with oxygen to form Na2O which produces NaOH on reaction with water.

ii. Nonmetals (like halogens) react with oxygen to form oxides which on reaction with water form strong acids.
e.g. Chlorine reacts with oxygen to form Cl2O7 which produces HClO4 on reaction with water.

Question G.
What are the valence electrons ? For s-block and p-block elements show that number of valence electrons is equal to its group number.
Answer:

  • Electrons present in the outermost shell of the atom of an element are called valence electrons.
  • 3Li is an s-block element and its electronic configuration is 1s22s1. Since it has one valence electron, it is placed in group 1.
  • Therefore, for s-block elements, group number = number of valence electrons.
  • However, for p-block elements, group number = 18 – number of electrons required to attain complete octet.
  • 7N is a p-block element and its electronic configuration is 1s22s22p3. Since it has five electrons in its valence shell, it is short of three electrons to complete its octet.
  • Therefore, its group number = 18 – 3 = 15.

Question H.
Define ionization enthalpy. Name the factors on which ionisation enthalpy depends? How does it vary down the group and across a period?
Answer:
i. The energy required to remove an electron from the isolated gaseous atom in its ground state is called ionization enthalpy (ΔiH).
Ionization enthalpy is the quantitative measure of tendency of an element to lose electron and expressed in kJ mol-1.

ii. Ionization energy depends on the following factors

  • Size (radius) of an atom
  • Nuclear charge
  • The shielding or screening effect of inner electrons
  • Nature of electronic configuration

iii. Variation of ionization energy down the group: On moving down the group, the ionization enthalpy decreases. This is because electron is to be removed from the larger valence shell. Screening due to core electrons goes on increasing and the effective nuclear charge decreases down the group. As a result, the removal of the outer electron becomes easier down the group.

iv. Variation of ionization energy across a period: The screening effect is the same while the effective nuclear charge increases across a period. As a result, the outer electron is held more tightly and hence, the ionization enthalpy increases across a period. Therefore, the alkali metal shows the lowest first ionization enthalpy while the inert gas shows the highest first ionization enthalpy across a period.

Note: First ionization enthalpy values of elements of group 1.
Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table 3
Note: First ionization enthalpy values of elements of period 2.
Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table 4

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

Question I.
How the atomic size vary in a group and across a period? Explain with suitable example.
Answer:
i. Variation in atomic size down the group:
a. As we move down the group from top to bottom in the periodic table, the atomic size increases with the increase in atomic number.
b. This is because, as the atomic number increases, nuclear charge increases but simultaneously the number of shells in the atoms also increases.
c. Asa result, the effective nuclear charge decreases due to increase in the size of the atom and shielding effect increases down the group. Thus, the valence electrons experience less attractive force from nucleus and are held less tightly.
d. Hence, the atomic size increases in a group from top to bottom.

e. g.

  • In group 1, as we move from top to bottom i.e., from Li to Cs, a new shell gets added in the atom of the elements and the electrons are added in this new shell.
  • As a result of this, the effective nuclear charge goes on decreasing and screening effect goes on increasing down a group.
  • Therefore, the atomic size is the largest for Cs and is the smallest for Li in group 1.

[Note: Atomic radii of Li and Cs are 152 pm and 262 pm respectively.]

ii. Variation in atomic size across a period:
a. As we move across a period from left to right in the periodic table, the atomic size of an element decreases with the increase in atomic number.
b. This is because, as the atomic number increases, nuclear charge increases gradually but addition of electrons takes place in the same shell.
c. Therefore, as we move across a period, the effective nuclear charge increases but screening effect caused by the core electrons remains the same.
d. As a result of this, attraction between the nucleus and the valence electrons increases. Therefore, valence electrons are more tightly bound and hence, the atomic radius goes on decreasing along a period resulting in decrease in atomic size.

e. g.

  • In the second period, as we move from left towards right i.e., from Li to F, the electrons are added in the second shell of all the elements in second period (except noble gas Ne).
  • As a result of this, the effective nuclear charge goes on increasing from Li to F, however, screening effect remains the same.
  • Therefore, the atomic size is the largest for Li (alkali metal) and is the smallest for F (halogen).

[Note: Atomic radii of Li and F are 152 pm and 64 pm respectively.]

Question J.
Give reasons.
a. Alkali metals have low ionization energies.
b. Inert gases have exceptionally high ionization energies.
c. Fluorine has less electron affinity than chlorine.
d. Noble gases possess relatively large atomic size.
Answer:
a. i. Across a period, the screening effect is the same while the effective nuclear charge increases.
ii. As a result, the outer electron is held more tightly and hence, the ionization enthalpy increases across a period.
iii. Since the alkali metals are present in the group 1 of the modem periodic table, they have low ionization energies.

b. i. Across a period, the screening effect is the same and the effective nuclear charge increases.
ii. As a result, the outer electron is held more tightly and hence, the ionization enthalpy increases across a period.
iii. Inert gases are present on the extreme right of the periodic table i.e., in group 18. Also, inert gases have stable electronic configurations i.e., complete octet or duplet. Due to this, they are extremely stable and it is very difficult to remove electrons from their valence shell.
Hence, inert gases have exceptionally high ionization potential.

c. The less electron affinity of fluorine is due to its smaller size. Adding an electron to the 2p orbital in fluorine leads to a greater repulsion than adding an electron to the larger 3p orbital of chlorine.
Hence, fluorine has less electron affinity than chlorine.

d. i. Noble gases have completely filled valence shell i.e., complete octet (except He with complete duplet).
ii. Since their valence shell contains eight electrons, they experience greater electronic repulsion and this results in increased atomic size (atomic radii) of the noble gas elements.
Hence, noble gases possess

Question K.
Consider the oxides Li2O, CO2, B2O3.
a. Which oxide would you expect to be the most basic?
b. Which oxide would be the most acidic?
c. Give the formula of an amphoteric oxide.
Answer:
a. Li2O is the most basic oxide.
b. CO2 is the most acidic oxide.
c. Formula of an amphoteric oxide: Al2O3.
[Note: Both B2O3 and CO2 are acidic oxides. But CO2 is more acidic oxide as compared to B2O3. Hence, CO2 is most acidic oxide amongst the given.]

Activity :

Question 1.
Prepare a wall mounting chart of the modern periodic table.
Answer:
Students can scan the adjacent Q.R. Code to visualise the modern periodic table and are expected to prepare the chart on their own.
Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table 5

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

11th Chemistry Digest Chapter 7 Modern Periodic Table Intext Questions and Answers

Can you recall? (Textbook Page No. 93)

Question 1.
What was the basis of classification of elements before the knowledge of electronic structure of atom?
Answer:
Elements were classified on the basis of their physical properties before the knowledge of electronic structure of atom.

Question 2.
Name the scientists who made the classification of elements in the nineteenth century.
Answer:
Dmitri Mendeleev, John Newlands and Johann Doberiener were the scientists who made the classification of elements based on their atomic mass in the nineteenth century.

Question 3.
What is Mendeleev’s periodic law?
Answer:
Mendeleev’s periodic law: “The physical and chemical properties of elements are the periodic function of their atomic masses

Question 4.
How many elements are discovered until now?
Answer:
Including manmade elements, total 118 elements are discovered until now.

Question 5.
How many horizontal rows and vertical columns are present in the modern periodic table?
Answer:
The modem periodic table consists of seven horizontal rows called periods numbered from 1 to 7 and eighteen vertical columns called groups numbered from 1 to 18.

Just think. (Textbook Page No. 93)

Question 1.
How many days pass between two successive full moon nights?
Answer:
29.5 days i.e., approximately 30 days pass between two successive full moon nights.

Question 2.
What type of motion does a pendulum exhibit?
Answer:
A pendulum exhibits periodic motion since it traces the same path after regular interval of time.

Question 3.
Give some other examples of periodic events.
Answer:
Following are some other examples of periodic events:

  • Motion of earth around the sun.
  • Rotation of earth around its own axis.
  • Day and night.

Maharashtra Board Class 11 Chemistry Solutions Chapter 7 Modern Periodic Table

Can you recall? (Textbook Page No. 95)

Question i.
What does the principal quantum number ‘n’ and azimuthal quantum number ‘l’ of an electron belonging to an atom represent?
Answer:
The principal quantum number ‘n’ represents the outermost or valence shell of an element (which corresponds to period number) while azimuthal quantum number ‘l’ constitutes a subshell belonging to the shell for the given ‘n’.

Question ii.
Which principle is followed in the distribution of electrons in an atom?
Answer:
The distribution of electrons in an atom is according to the following three principles:

  1. Aufbau principle
  2. Pauli’s exclusion principle
  3. Hund’s rule of maximum multiplicity

[Note: According to aufbau principle, electrons are filled in the subshells in the increasing order of their energies which follows the following order: s < p < d < f.]

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Balbharti Maharashtra State Board 11th Chemistry Textbook Solutions Chapter 6 Redox Reactions Textbook Exercise Questions and Answers.

Maharashtra State Board 11th Chemistry Solutions Chapter 6 Redox Reactions

1. Choose the most correct option

Question A.
Oxidation numbers of Cl atoms marked as Cla and Clb in CaOCl2 (bleaching powder) are
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 1
a. zero in each
b. -1 in Cla and +1 in Clb
c. +1 in Cla and -1 in Clb
d. 1 in each
Answer:
b. -1 in Cla and +1 in Clb

Question B.
Which of the following is not an example of redox reacton ?
a. CuO + H2 → Cu + H2O
b. Fe2O3 + 3CO2 → 2Fe + 3CO2
c. 2K + F2 → 2KF
d. BaCl2 + H2SO4 → BaSO4 + 2HCl
Answer:
d. BaCl2 + H2SO4 → BaSO4 + 2HCl

Question C.
A compound contains atoms of three elements A, B and C. If the oxidation state of A is +2, B is +5 and that of C is -2, the compound is possibly represented by
a. A2(BC3)2
b. A3(BC4)2
c. A3(B4C)2
d. ABC2
Answer:
b. A3(BC4)2

Question D.
The coefficients p, q, r, s in the reaction
\(\mathrm{pCr}_{2} \mathrm{O}_{7}^{2-}\) + q Fe2⊕ → r Cr3⊕ + s Fe3⊕ + H2O respectively are :
a. 1, 2, 6, 6
b. 6, 1, 2, 4
c. 1, 6, 2, 6
d. 1, 2, 4, 6
Answer:
c. 1, 6, 2, 6

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Question E.
For the following redox reactions, find the correct statement.
Sn2⊕ + 2Fe3⊕ → Sn4⊕ + 2Fe2⊕
a. Sn2⊕ is undergoing oxidation
b. Fe3⊕ is undergoing oxidation
c. It is not a redox reaction
d. Both Sn2⊕ and Fe3⊕ are oxidised
Answer:
a. Sn2⊕ is undergoing oxidation

Question F.
Oxidation number of carbon in H2CO3 is
a. +1
b. +2
c. +3
d. +4
Answer:
d. +4

Question G.
Which is the correct stock notation for magenese dioxide ?
a. Mn(I)O2
b. Mn(II)O2
c. Mn(III)O2
d. Mn(IV)O2
Answer:
d. Mn(IV)O2

Question I.
Oxidation number of oxygen in superoxide is
a. -2
b. -1
c. –\(\frac {1}{2}\)
d. 0
Answer:
c. –\(\frac {1}{2}\)

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Question J.
Which of the following halogens does always show oxidation state -1 ?
a. F
b. Cl
c. Br
d. I
Answer:
a. F

Question K.
The process SO2 → S2Cl2 is
a. Reduction
b. Oxidation
c. Neither oxidation nor reduction
d. Oxidation and reduction.
Answer:
a. Reduction

2. Write the formula for the following compounds :
A. Mercury(II) chloride
B. Thallium(I) sulphate
C. Tin(IV) oxide
D. Chromium(III) oxide
Answer:
i. HgCl2
ii. Tl2SO4
iii. SnO2
iv. Cr2O3

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

3. Answer the following questions

Question A.
In which chemical reaction does carbon exibit variation of oxidation state from -4 to +4 ? Write balanced chemical reaction.
Answer:
In combustion of methane, carbon exhibits variation from -4 to +4. The reaction is as follows:
CH4 + 2O2 → CO2 + 2H2O
In CH4, the oxidation state of carbon is -4 while in CO2, the oxidation state of carbon is +4.

Question B.
In which reaction does nitrogen exhibit variation of oxidation state from -3 to +5 ?
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 2

C. Calculate the oxidation number of underlined atoms.
a. H2SO4
b. HNO3
c. H3PO3
d. K2C2O4
e. H2S4O6
f. Cr2O72-
g. NaH2PO4
Answer:
i. H2SO4
Oxidation number of H = +1
Oxidation number of O = -2
H2SO4 is a neutral molecule.
∴ Sum of the oxidation numbers of all atoms of H2SO4 = 0
∴ 2 × (Oxidation number of H) + (Oxidation number of S) + 4 × (Oxidation number of O) = 0
∴ 2 × (+1) + (Oxidation number of S) + 4 × (-2) = 0
∴ Oxidation number of S + 2 – 8 = 0
∴ Oxidation number of S in H2SO4 = +6

ii. HNO3
Oxidation number of H = +1
Oxidation number of O = -2
HNO3 is a neutral molecule.
∴ Sum of the oxidation numbers of all atoms of HNO3 = 0
∴ (Oxidation number of H) + (Oxidation number of N) + 3 × (Oxidation number of O) = 0
∴ (+1) + (Oxidation number of N) + 3 × (-2) = 0
∴ Oxidation number of N + 1 – 6 = 0
∴ Oxidation number of N in HNO3 = +5

iii. H3PO3
Oxidation number of O = -2
Oxidation number of H = +1
H3PO3 is a neutral molecule.
∴ Sum of the oxidation numbers of all atoms = 0
∴ 3 × (Oxidation number of H) + (Oxidation number of P) + 3 × (Oxidation number of O) = 0
∴ 3 × (+1) + (Oxidation number of P) + 3 × (-2) = 0
∴ Oxidation number of P + 3 – 6 = 0
Oxidation number of P is H3PO3 = +3

iv. K2C2O4
Oxidation number of K = +1
Oxidation number of O = -2
K2C2O4 is a neutral molecule.
∴ Sum of the oxidation number of all atoms = 0
∴ 2 × (Oxidation number of K) + 2 × (Oxidation number of C) + 4 × (Oxidation number of O) = 0
∴ 2 × (+1) + 2 × (Oxidation number of C) + 4 × (-2) = 0
∴ 2 × (Oxidation number of C) + 2 – 8 = 0
∴ 2 × (Oxidation number of C) = + 6
∴ Oxidation number of C = +\(\frac {6}{2}\)
∴ Oxidation number of C in K2C2O4 = +3

v. H2S4O6
Oxidation number of H = +1
Oxidation number of O = -2
H2S4O6 is a neutral molecule.
∴ Sum of the oxidation numbers of all atoms = 0
∴ 2 × (Oxidation number of H) + 4 × (Oxidation number of S) + 6 × (Oxidation number of O) = 0
∴ 2 × (+1) + 4 × (Oxidation number of S) + 6 × (-2) = 0
∴ 4 × (Oxidation number of S) + 2 – 12 = 0
∴ 4 × (Oxidation number of S) = + 10
∴ Oxidation number of S = +\(\frac {10}{4}\)
∴ Oxidation number of S in H2S4O6 = +2.5

vi. Cr2O72-
Oxidation of O = -2
Cr2O72- is an ionic species.
∴ Sum of the oxidation numbers of all atoms = – 2
∴ 2 × (Oxidation number of Cr) + 7 × (Oxidation number of O) = -2
∴ 2 × (Oxidation number of Cr) + 7 × (-2) = – 2
∴ 2 × (Oxidation number of Cr) – 14 = – 2
∴ 2 × (Oxidation number of Cr) = – 2 + 14
∴ Oxidation number of Cr = +\(\frac {12}{2}\)
∴ Oxidation number of Cr in Cr2O72- = +6

vii. NaH2PO4
Oxidation number of Na = +1
Oxidation number of H = +1
Oxidation number of O = -2
NaH2PO4 is a neutral molecule
Sum of the oxidation numbers of all atoms = 0
(Oxidation number of Na) + 2 × (Oxidation number of H) + (Oxidation number of P) + 4 × (Oxidation number of O) = 0
(+1) + 2 × (+1) + (Oxidation number of P) + 4 × (-2) = 0
(Oxidation number of P) + 3 – 8 = 0
Oxidation number of P in NaH2PO4 = +5

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Question D.
Justify that the following reactions are redox reaction; identify the species oxidized/reduced, which acts as an oxidant and which act as a reductant.
a. 2Cu2O(s) + Cu2S(s) → 6Cu(s) + SO2(g)
b. HF(aq) + OH(aq) → H2O(l) + F(aq)
c. I2(aq) + 2 S2O32-(aq) → S4O62-(aq) + 2I(aq)
Answer:
i. 2Cu2O(s) + Cu2S(s) → 6Cu(s) + SO2(g)
a. Write oxidation number of all the atoms of reactants and products.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 3
b. Identify the species that undergoes change in oxidation number.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 4
c. The oxidation number of S increases from -2 to +4 and that of Cu decreases from +1 to 0. Because oxidation number of one species increases and that of the other decreases, the reaction is a redox reaction.
d. The oxidation number of S increases by loss of electrons and therefore, S is a reducing agent and it itself is oxidised. On the other hand, the oxidation number of Cu decreases by gain of electrons and therefore, Cu is an oxidising agent and itself is reduced.

Result:

  1. The given reaction is a redox reaction.
  2. Oxidant/oxidising agents (Reduced species): Cu2O/ Cu2S
  3. Reductant/reducing agent (Oxidised species): Cu2S

[Note: Cu in both Cu2O and Cu2S undergoes reduction. Hence, both Cu2O and Cu2S can be termed as oxidising agents in the given reaction.]

ii. HF(aq) + OH(aq) → H2O(l) + F(aq)
a. Write oxidation number of all the atoms of reactants and products.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 5
b. Since, the oxidation numbers of all the species remain same, this is NOT a redox reaction. Result:
The given reaction is NOT a redox reaction.

iii. I2(aq) + 2 S2O32-(aq) → S4O62-(aq) + 2I(aq)
a. Write oxidation number of all the atoms of reactants and products.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 6
b. Identify the species that undergoes change in oxidation number.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 7
c. The oxidation number of S increases from +2 to +2.5 and that of I decreases from 0 to -1. Because oxidation number of one species increases and that of the other decreases, the reaction is a redox reaction.
d. The oxidation number of S increases by loss of electrons and therefore, S is a reducing agent and itself is oxidised. On the other hand, the oxidation number of I decreases by gain of electrons and therefore, I is an oxidising agent and itself is reduced.

Result:

  1. The given reaction is a redox reaction.
  2. Oxidant/oxidising agent (Reduced species): I2
  3. Reductant/reducing agent (Oxidised species): S2O32-

Question E.
What is oxidation? Which one of the following pairs of species is in its oxidized state ?
a. Mg / Mg2+
b. Cu / Cu2+
c. O2 / O2-
d. Cl2 / Cl
Answer:
a. Mg / Mg2+
Here, Mg loses two electrons to form Mg2+ ion.
\(\mathrm{Mg}_{(\mathrm{s})} \longrightarrow \mathrm{Mg}_{(\mathrm{aq})}^{2+}+2 \mathrm{e}^{-}\)
Hence, Mg / Mg2+ is an oxidized state.

b. Cu/Cu2+
Here, Cu loses two electrons to form Cu2+ ion.
\(\mathrm{Cu}_{(\mathrm{s})} \longrightarrow \mathrm{Cu}_{(\mathrm{aq})}^{2+}+2 \mathrm{e}^{-}\)
Hence, Cu/Cu2+ is in an oxidized state.

c. O2 / O2-
Here, each O gains two electrons to form O2- ion.
\(\mathrm{O}_{2(\mathrm{~g})}+4 \mathrm{e}^{-} \longrightarrow 2 \mathrm{O}_{(\mathrm{aq})}^{2-}\)
Hence, O2 / O2- is in a reduced state.

d. Cl2 / Cl
Here, each Cl gains one electron to form Cl ion.
\(\mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{e}^{-} \longrightarrow 2 \mathrm{Cl}_{(\mathrm{aq})}^{-}\)
Hence, Cl2 / Cl is in a reduced state.

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Question F.
Justify the following reaction as redox reaction.
2 Na2(s) + S(s) → Na2S(s)
Find out the oxidizing and reducing agents.
Answer:
i. Redox reaction can be described as electron transfer as shown below:
2Na(s) + S(s) → 2Na+ + S2-
ii. Charge development suggests that each sodium atom loses one electron to form Na+ and sulphur atom gains two electrons to form S2-. This can be represented as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 8
iii. When Na is oxidised to Na2S, the neutral Na atom loses electrons to form Na+ in Na2S while the elemental sulphur gains electrons and forms S2- in Na2S.
iv. Each of the above steps represents a half reaction which involves electron transfer (loss or gain).
v. Sum of these two half reactions or the overall reaction is a redox reaction.
vi. Oxidising agent is an electron acceptor and hence, S is an oxidising agent. Reducing agent is an electron donor and hence, Na is a reducing agent.

Question G.
Provide the stock notation for the following compounds : HAuCl4, Tl2O, FeO, Fe2O3, MnO and CuO.
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 9

Question H.
Assign oxidation number to each atom in the following species.
a. Cr(OH)4
b. Na2S2O3
c. H3BO3
Answer:
i. Cr(OH)4
Oxidation number of O = -2
Oxidation number of H = +1
Cr(OH)4 is an ionic species.
∴ Sum of the oxidation numbers of all atoms = – 1
∴ Oxidation number of Cr + 4 × (Oxidation number of O) + 4 × (Oxidation number of H) = – 1
∴ Oxidation number of Cr + 4 × (-2) + 4 × (+1) = – 1
∴ Oxidation number of Cr – 8 + 4 = – 1
∴ Oxidation number of Cr – 4 = – 1 –
∴ Oxidation number of Cr = – 1 + 4
∴ Oxidation number of Cr in Cr(OH)4 = +3

ii. Na2S2O3
Oxidation number of Na = +1
Oxidation number of O = -2
Na2S2O3 is a neutral molecule.
∴ Sum of the oxidation numbers of all atoms = 0
∴ 2 × (Oxidation number of Na) + 2 × (Oxidation number of S) + 3 × (Oxidation number of O) = 0
∴ 2 × (+1) + 2 × (Oxidation number of S) + 3 × (-2) = 0
∴ 2 × (Oxidation number of S) + 2 – 6 = 0
∴ 2 × (Oxidation number of S) = + 4
∴ Oxidation number of S = +\(\frac {4}{2}\)
∴ Oxidation number of S in Na2S2O3 = +2

iii. H3BO3
Oxidation number of H = +1
Oxidation number of O = -2
H3BO3 is a neutral molecule.
∴ Sum of the oxidation numbers of all atoms = 0
∴ 3 × (Oxidation number of H) + (Oxidation number of B) + 3 × (Oxidation number of O) = 0
∴ 3 × (+1) + (Oxidation number of B) + 3 × (-2) = 0
∴ Oxidation number of B + 3 – 6 = 0
∴ Oxidation number of B in H3BO3 = +3

Question I.
Which of the following redox couple is stronger oxidizing agent ?
a. Cl2 (E0 = 1.36 V) and Br2 (E0 = 1.09 V)
b. \(\mathrm{MnO}_{4}^{\Theta}\) (E0 = 1.51 V) and \(\mathrm{Cr}_{2} \mathrm{O}_{7}^{2 \Theta}\) (E0 = 1.33 V)
Answer:
a. Cl2 has a larger positive value of E0 than Br2. Thus, Cl2 is a stronger oxidizing agent than Br2.
b. \(\mathrm{MnO}_{4}^{\Theta}\) has larger positive value of E0 than \(\mathrm{Cr}_{2} \mathrm{O}_{7}^{2 \Theta}\). Thus, \(\mathrm{MnO}_{4}^{\Theta}\) is stronger oxidizing agent than \(\mathrm{Cr}_{2} \mathrm{O}_{7}^{2 \Theta}\)

Question J.
Which of the following redox couple is stronger reducing agent ?
a. Li (E0 = – 3.05 V) and Mg(E0 = – 2.36 V)
b. Zn(E0 = – 0.76 V) and Fe(E0 = – 0.44 V)
Answer:
a. Li has a larger negative value of E0 than Mg. Thus, Li is a stronger reducing agent than Mg.
b. Zn has a larger negative value of E0 than Fe. Thus, Zn is a stronger reducing agent than Fe.

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

4. Balance the reactions/equations :

Question A.
Balance the following reactions by oxidation number method
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 10
Answer:
i. \(\mathrm{Cr}_{2} \mathrm{O}_{7(\mathrm{aq})}^{2-}+\mathrm{SO}_{3(\mathrm{aq})}^{2-} \longrightarrow \mathrm{Cr}_{(\mathrm{aq})}^{3+}+\mathrm{SO}_{4(\mathrm{aq})}^{2-} \quad(\text { acidic })\)
Step 1: Write skeletal equation and balance the elements other than O and H.
\(\mathrm{Cr}_{2} \mathrm{O}_{7(a q)}^{2-}+\mathrm{SO}_{3(a)}^{2-} \longrightarrow 2 \mathrm{Cr}_{(\mathrm{aq})}^{3+}+\mathrm{SO}_{4(\mathrm{aq})}^{2-}\)
Step 2: Assign oxidation number to Cr and S. Calculate the increase and decrease in the oxidation number and make them equal.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 11
To make the net increase and decrease equal, we must take 3 atoms of S and 2 atoms of Cr. (There are already 2 Cr atoms.)
Step 3: Balance ‘O’ atoms by adding 4H2O to the right-hand side.
\(\mathrm{Cr}_{2} \mathrm{O}_{7(\mathrm{aq})}^{2-}+3 \mathrm{SO}_{3(\mathrm{aq})}^{2-} \longrightarrow 2 \mathrm{Cr}_{(\mathrm{aq})}^{3+}+3 \mathrm{SO}_{4(\mathrm{aq})}^{2-}+4 \mathrm{H}_{2} \mathrm{O}_{(l)}\)
Step 4: The medium is acidic. To make the charges and hydrogen atoms on the two sides equal, add 8H on the left-hand side.
\(\mathrm{Cr}_{2} \mathrm{O}_{7(\mathrm{aq})}^{2-}+3 \mathrm{SO}_{3(\mathrm{aq})}^{2-}+8 \mathrm{H}_{(\mathrm{aq})}^{+} \longrightarrow 2 \mathrm{Cr}_{(\mathrm{aq})}^{3+}+3 \mathrm{SO}_{4(\mathrm{aq})}^{2-}+4 \mathrm{H}_{2} \mathrm{O}_{(l)}\)
Step 5: Check two sides for balance of atoms and charges.
Hence, balanced equation:
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 12

ii. \(\mathrm{MnO}_{4(\mathrm{aq})}^{-}+\mathrm{Br}_{(\mathrm{aq})}^{-} \longrightarrow \mathrm{MnO}_{2(\mathrm{~s})}+\mathrm{BrO}_{3}^{-}{(a q)} \quad \text { (basic) }\)
Step 1: Write skeletal equation and balance the elements other than O and H.
\(\mathrm{MnO}_{4(\mathrm{aq})}^{-}+\mathrm{Br}_{(\mathrm{aq})}^{-} \longrightarrow \mathrm{MnO}_{2(\mathrm{~s})}+\mathrm{BrO}_{3}^{-}{ }_{(\mathrm{aq})}\)
Step 2: Assign oxidation number to Mn and Br. Calculate the increase and decrease in the oxidation number and make them equal.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 13
To make the net increase and decrease equal, we must take 2 atoms of Mn.
\(2 \mathrm{MnO}_{4(\mathrm{aq})}^{-}+\mathrm{Br}_{(\mathrm{aq})}^{-} \longrightarrow 2 \mathrm{MnO}_{2(\mathrm{~s})}+\mathrm{BrO}_{3(\mathrm{aq})}^{-}\)
Step 3: Balance ‘O’ atoms by adding H2O to the right-hand side.
\(2 \mathrm{MnO}_{4(a q)}^{-}+\mathrm{Br}_{(2 q)}^{-} \longrightarrow 2 \mathrm{MnO}_{2(\mathrm{~s})}+\mathrm{BrO}_{3 \text { (aq) }}^{-}+\mathrm{H}_{2} \mathrm{O}_{(l)}\)
Step 4: The medium is basic. To make the charges and hydrogen atoms on the two sides equal, add 2H+ on the left-hand side.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 14

iii. H2SO4(aq) + C(s) → CO2(g) + SO2(g) + H2O(l) (acidic)
Step 1: Write skeletal equation and balance the elements other than O and H.
H2SO4(aq) + C(s) → CO2(g) + SO2(g) + H2O(l)
Step 2: Assign oxidation number to S and C. Calculate the increase and decrease in the oxidation number and make them equal.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 15
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 16
To make the net increase and decrease equal, we must take 2 atoms of S.
2H2SO4(aq) + C(s) → CO2(g) + 2SO2(g) + H2O(l)
Step 3: Balance ‘O’ atoms by adding H2O to the right-hand side.
2H2SO4(aq) + C(s) → CO2(g) + 2SO2(g) + H2O(l) + H2O(l)
Step 4: The medium is acidic. There is no charge on either side. Hydrogen atoms are equal on both side.
2H2SO4(aq) + C(s) → CO2 + 2SO2(g) + H2O(l)
Step 5: Check two sides for balance of atoms and charges.
Hence, balanced equation: 2H2SO4(aq) + C(s) → CO2(g) + 2SO2(g) + H2O(l)

iv. \(\mathrm{Bi}(\mathrm{OH})_{3(\mathrm{~s})}+\mathrm{Sn}(\mathrm{OH})_{3(\mathrm{aq})}^{-} \longrightarrow \mathrm{Bi}_{(\mathrm{s})}+\mathrm{Sn}(\mathrm{OH})_{6(\mathrm{aq})}^{2-}\) (basic)
Step 1: Write skeletal equation and balance the elements other than O and H.
\(\mathrm{Bi}(\mathrm{OH})_{3(\mathrm{~s})}+\mathrm{Sn}(\mathrm{OH})_{3(\mathrm{aq})}^{-} \longrightarrow \mathrm{Bi}_{(\mathrm{s})}+\mathrm{Sn}(\mathrm{OH})_{6(\mathrm{aq})}^{2-}\)
Step 2: Assign oxidation numbers to Bi and Sn. Calculate the increase and decrease in the oxidation number and make them equal.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 17
To make the net increase and decrease equal, we must take 3 atoms of Sn and 2 atoms of Bi.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 18

Step 4: The medium is basic. To make hydrogen atoms on the two sides equal, add 3W on the right-hand side.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 19

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Question B.
Balance the following redox equation by half reaction method
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 20
Answer:
i. H2C2O4(aq) + \(\mathrm{MnO}_{4(a q)}^{-}\) → CO2(g) + \(\mathrm{Mn}_{(\mathrm{aq})}^{2+}\)
Step 1: Write unbalanced equation for the redox reaction. Assign oxidation number to all the atoms in reactants and products. Divide the equation into two half equations.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 21

Step 2: Balance the atoms except O and H in each half equation. Balance half equation for O atoms by adding 4H2O to the right side of reduction half equation.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 22

Step 3: Balance H atoms by adding H+ ions to the side with less H. Hence, add 2H+ ions to the right side of oxidation half equation and 8H+ ions to the left side of reduction half equation.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 23

Step 4: Now add 2 electrons to the right side of oxidation half equation and 5 electrons to the left side of reduction half equation to balance the charges.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 24

Step 5: Multiply oxidation half equation by 5 and reduction half equation by 2 to equalize number of electrons in two half equations. Then add two half equation.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 25

ii. \(\mathrm{Bi}(\mathrm{OH})_{3(\mathrm{~s})}+\mathrm{SnO}_{2(\mathrm{aq})}^{2-} \longrightarrow \mathrm{SnO}_{3(\mathrm{aq})}^{2-}+\mathrm{Bi}_{(\mathrm{s})}\)
Step 1: Write unbalanced equation for the redox reaction. Assign oxidation number to all the atoms in reactants and products. Divide the equation into two half equations.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 26
Step 2: Balance half equations for O atoms by adding H2O to the side with less O atoms. Add 1H2O to left side of oxidation half equation and 3H2O to the right side of reduction half equation.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 27
Step 3: Balance H atoms by adding H+ ions to the side with less H. Hence, add 2H+ ions to the right side of oxidation half equation and 3H+ ions to the left side of reduction half equation.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 28
Step 4: Now add 2 electrons to the right side of oxidation half equation and 3 electrons to the left side of reduction half equation to balance the charges.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 29
Step 5: Multiply oxidation half equation by 3 reduction half equation by 2 to equalize number of electrons in two half equations. Then add two half equation.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 30
Reaction occurs in basic medium. However, H+ ions cancel out and the reaction is balanced. Hence, no need to add OH ions. The equation is balanced in terms of number of atoms and the charges.
Hence, balanced equation:
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 31

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

5. Complete the following table :

Assign oxidation number to the underlined species and write Stock notation of compound

CompoundOxidation numberStock notation
AuCl3…………….. ……………..
SnCl2 …………….. ……………..
\(\underline{\mathrm{V}}_{2} \mathrm{O}_{7}^{4-}\) …………….. ……………..
\(\underline{\mathrm{Pt}} \mathrm{Cl}_{6}^{2-}\) …………….. ……………..
H3AsO3 …………….. ……………..

Answer:

CompoundOxidation numberStock notation
AuCl3+3Au(III)Cl3
SnCl2+2Sn(II)Cl2
\(\underline{\mathrm{V}}_{2} \mathrm{O}_{7}^{4-}\)+5V2(V)\(\mathrm{O}_{7}^{4-}\)
\(\underline{\mathrm{Pt}} \mathrm{Cl}_{6}^{2-}\)+4Pt(IV)\(\mathrm{Cl}_{6}^{2-}\)
H3AsO3+3H3As(III)O3

11th Chemistry Digest Chapter 6 Redox Reactions Intext Questions and Answers

Can you tell? (Textbook Page No. 81)

Question i.
Why does cut apple turn brown when exposed to air?
Answer:
Cut apple turns brown when exposed to air because polyphenols are released. These polyphenols undergo oxidation in the presence of air and impart brown colour.

Question ii.
Why does old car bumper change colour?
Answer:
Car bumper is made of iron which undergoes rusting over a period of time. Hence, old car bumper changes colour.

Question iii.
Why do new batteries become useless after some days?
Answer:
Batteries generate electricity by redox reactions. Once the chemicals taking part in redox reaction are used up, the battery cannot generate power. Hence, new batteries become useless after some days.

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Can you recall? (Textbook Page No. 81)

Question i.
What is combustion reaction?
Answer:
Combustion is a process in which a substance combines with oxygen.

Question ii.
Write an equation for combustion of methane.
Answer:
Combustion of methane: CH4 + 2O2 → CO2 + 2H2O + Heat + Light

Question iii.
What is the driving force behind reactions of elements?
Answer:
The ability of element to combine with other element or the ability of element to replace other element in compound is the driving force behind the reactions. This may involve formation of precipitates, formation of water, release of gas, etc.

Try this. (Textbook Page No. 82)

Question 1.
Complete the following table of displacement reactions. Identify oxidising and reducing agents involved.

ReactantsProducts
Zn(s) + ————(aq)————-(aq) + Cu(s)
Cu(s) + 2Ag+(aq)—————– + ————–
———– + ————-\( \mathrm{Co}_{(\mathrm{aq})}^{2+}\) + Ni(s)

Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 32

Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions

Try this (Textbook Page No. 88)

Question 1.
Classify the following unbalanced half equations as oxidation and reduction.
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 33
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 6 Redox Reactions 34

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Balbharti Maharashtra State Board 11th Chemistry Textbook Solutions Chapter 5 Chemical Bonding Textbook Exercise Questions and Answers.

Maharashtra State Board 11th Chemistry Solutions Chapter 5 Chemical Bonding

1. Select and write the most appropriate alternatives from the given choices.

Question A.
Which molecule is linear?
a. SO3
b. CO2
c. H2S
d. Cl2O
Answer:
b. CO2

Question B.
When the following bond types are listed in decreasing order of strength (strongest first). Which is the correct order?
a. covalent > hydrogen > van der waals
b. covalent > vander waal’s > hydrogen
c. hydrogen > covalent > vander waal’s
d. vander waal’s > hydrogen > covalent.
Answer:
a. covalent > hydrogen > van der waals

Question C.
Valence Shell Electron Pair repulsion (VSEPR) theory is used to predict which of the following :
a. energy levels in an atom
b. the shapes of molecules and ions.
c. the electron negetivities of elements.
d. the type of bonding in compounds.
Answer:
b. the shapes of molecules and ions.

Question D.
Which of the following is true for CO2?

C=O bondCO2 molecule
Apolarnon-polar
Bnon-polarpolar
Cpolarpolar
Dnon-polarnon-polar

Answer:

C=O bondCO2 molecule
Apolarnon-polar

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question E.
Which O2 molecule is pargmagnetic. It is explained on the basis of :
a. Hybridisation
b. VBT
c. MOT
d. VSEPR
Answer:
c. MOT

Question F.
The angle between two covalent bonds is minimum in:
a CH4
b. C2H2
c. NH3
d. H2O
Answer:
d. H2O

2. Draw

Question A.
Lewis dot diagrams for the folowing
a. Hydrogen (H2)
b. Water (H2O)
c. Carbon dioxide (CO2)
d. Methane (CH4)
e. Lithium Fluoride (LiF)
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 1
[Note: H atom in H2 and Li atom in LiF attain the configuration of helium (a duplet of electrons).]

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question B.
Diagram for bonding in ethene with sp2 Hybridisation.
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 2

Question C.
Lewis electron dot structures of
a. HF
b. C2H6
c. C2H4
d. CF3Cl
e. SO2
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 3
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 4

Question D.
Draw orbital diagrams of
a. Fluorine molecule
b. Hydrogen fluoride molecule
Answer:
a.
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 5
b.
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 6

3. Answer the following questions

Question A.
Distinguish between sigma and pi bond.
Answer:

σ (sigma) bondπ (pi) bond
1. It is formed when atomic orbitals overlap along internuclear axis.1. It is formed when atomic orbitals overlap side-ways (laterally).
2. Electron density is high along the axis of the molecule (i.e., internuclear axis).2. Electron density is zero along the axis of the molecule (i.e., internuclear axis).
3. In the formation of sigma bond, the extent of overlap is greater, hence, more energy is released.3. In the formation of pi bond, the extent of overlap is less, hence, less energy is released.
4. It is a strong bond.4. It is a weak bond.
5. Formation of sigma bonds involves s-s, s-p, p-p overlap and overlap between hybrid orbitals.5. Formation of pi bonds involves p-p or d-d overlap. The overlap between hybrid orbitals is not involved.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question B.
Display electron distribution around the oxygen atom in water molecule and state shape of the molecule, also write H-O-H bond angle.
Answer:
Electron distribution around oxygen atom in water molecule:
Shape of water molecule: Angular or V shaped H-O-H bond angle = 104°35′
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 7

Question C.
State octet rule. Explain its inadequecies with respect to
a. Incomplete octet
b. Expanded octet
Answer:
Statement: During the formation of chemical bond, atom loses, gains or shares electrons so that its outermost orbit (valence shell) contains eight electrons. Therefore, the atom attains the nearest inert gas electronic configuration.

a. Molecules with incomplete octet: e.g. BF3, BeCl2, LiCl
In these covalent molecules, the atoms B, Be and Li have less than eight electrons in their valence shell but these molecules are stable.
Li in LiCl has only two electrons, Be in BeCl2 has four electrons while B in BF3 has six electrons in the valence shell.

b. Molecules with expanded octet: Some molecules like SF6, PCl5, H2SO4 have more than eight electrons around the central atom.
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 8

Question D.
Explain in brief with one example:
a. Ionic bond
b. covalent bond
c. co-ordinate bond
Answer:
a. Formation of calcium chloride (CaCl2):
i. The electronic configurations of calcium and chlorine are:
Na (Z = 11): 1s2 2s2 2p6 3s2 3p6 4s2 or (2, 8, 8, 2)
Cl (Z = 17): 1s2 2s2 2p6 3s2 3p5 or (2, 8, 7)
ii. Calcium has two electrons in its valence shell. It has tendency to lose two electrons to acquire the electronic configuration of the nearest inert gas, argon (2, 8, 8).
iii. Chlorine has seven electrons in its valence shell. It has tendency to gain one electron and thereby acquire the electronic configuration of the nearest inert gas, argon (2, 8, 8).
iv. During the combination of calcium and chlorine atoms, the calcium atom transfers its valence electrons to two chlorine atoms.
v. Calcium atom changes into Ca2+ ion while the two chlorine atoms change into two Cl ions. These ions are held together by strong electrostatic force of attraction.
vi. The formation of ionic bond(s) between Ca and Cl can be shown as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 9

b. Formation of Cl2 molecule:
i. The electronic configuration of Cl atom is [Ne] 3s2 3p5.
ii. It needs one more electron to complete its valence shell.
iii. When two chlorine atoms approach each other at a certain internuclear distance, they share their valence electrons. In the process, both the atoms attain the valence shell of octet of nearest noble gas, argon.
iv. The shared pair of electrons belongs equally to both the chlorine atoms. The two atoms are said to be linked by a single covalent bond and a Cl2 molecule is formed.
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 10

c. co-ordinate bond:
i. A coordinate bond is a type of covalent bond where both of the electrons that form the bond originate from the same atom
ii. An atom with a lone pair of electrons (non-bonding pair of electrons) is capable of forming a coordinate bond.
iii. For example, reaction of ammonia with boron trifluoride: Before the reaction, nitrogen (N) in ammonia has eight valence electrons, including a lone pair of electrons. Boron (B) in boron trifluoride has only six valence electrons, so it is two electrons short of an octet. The two unpaired electrons form a bond between nitrogen and boron, resulting in complete octets for both atoms. A coordinate bond is represented by an arrow. The direction of the arrow indicates that the electrons are moving from nitrogen to boron. Thus, ammonia forms a coordinate bond with boron trifluoride.
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 11
iv. Once formed, a coordinate covalent bond is the same as any other covalent bond.

Question E.
Give reasons for need of Hybridisation.
Answer:
The concept of hybridization was introduced because the valence bond theory failed to explain the following points:
i. Valencies of certain elements:
The maximum number of covalent bonds which an atom can form equals the number of unpaired electrons present in its valence shell. However, valence bond theory failed to explain how beryllium, boron and carbon forms two, three and four covalent bonds respectively.
a. Beryllium: The electronic configuration of beryllium is 1s2 2s2. The expected valency is zero (as there is no unpaired electron) but the observed valency is 2 as in BeCl2.
b. Boron: The electronic configuration of boron is 1s2 2s2 \(2 \mathrm{p}_{\mathrm{x}}^{1}\). The valency is expected to be 1 but it is 3 as in BF3.
c. Carbon: The electronic configuration of carbon is 1s2 2s2 \(2 \mathrm{p}_{\mathrm{x}}^{1}\) \(2 \mathrm{p}_{\mathrm{y}}^{1}\) . The valency is expected to be 2, but observed valency is 4 as in CH4.

ii. The shapes and geometry of certain molecules:
The valence bond theory cannot explain shapes, geometries and bond angles in certain molecules,
e.g. a. Tetrahedral shape of methane molecule.
b. Bond angles in molecules like NH3 (107°18′) and H2O (104°35′).
However, the valency of the above elements and the observe structural properties of the above molecules can be explained by the concept of hybridization. These are the reasons for need of the concept of hybridization.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question F.
Explain geometry of methane molecule on the basis of Hybridisation.
Answer:
Formation of methane (CH4) molecule on the basis of sp3 hybridization:
i. Methane molecule (CH4) has one carbon atom and four hydrogen atoms.
ii. The ground state electronic configuration of C (Z = 6) is 1s2 \(2 \mathrm{p}_{\mathrm{x}}^{1}\) \(2 \mathrm{p}_{\mathrm{y}}^{1}\) \(2 \mathrm{p}_{\mathrm{z}}^{1}\);
Electronic configuration of carbon:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 12
iii. In order to form four equivalent bonds with hydrogen, the 2s and 2p orbitals of C-atom undergo sp3 hybridization.
iv. One electron from the 2s orbital of carbon atom is excited to the 2pz orbital. Then the four orbitals 2s, px, py and pz mix and recast to form four new sp3 hybrid orbitals having same shape and equal energy. They are maximum apart and have tetrahedral geometry with H-C-H bond angle of 109°28′. Each hybrid orbital contains one unpaired electron.
v. Each of these sp3 hybrid orbitals with one electron overlap axially with the 1s orbital of hydrogen atom to form one C-H sigma bond. Thus, in CH4 molecule, there are four C-H bonds formed by the sp3-s overlap.
Diagram:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 13

Question G.
In Ammonia molecule the bond angle is 107°18 and in water molecule it is 104°35′, although in both the central atoms are sp3 hybridized Explain.
Answer:
i. The ammonia molecule has sp3 hybridization. The expected bond angle is 109°28′. But the actual bond angle is 107°28′. It is due to the following reasons.

  • One lone pair and three bond pairs are present in ammonia molecule.
  • The strength of lone pair-bond pair repulsion is much higher than that of bond pair-bond pair repulsion.
  • Due to these repulsions, there is a small decrease in bond angle (~2°) from 109°28′ to 107°18′.

ii. The water molecule has sp3 hybridization. The expected bond angle is 109°28′. But the actual bond angle is 104°35′. It is due to the following reasons.

  • Two lone pairs and two bond pairs are present in water molecule.
  • The decreasing order of the repulsion is Lone pair-Lone pair > Lone pair-Bond pair > Bond pair-Bond pair.
  • Due to these repulsions, there is a small decrease in bond angle (~5°) from 109°28′ to 104°35′.

Question H.
Give reasons for:
a. Sigma (σ) bond is stronger than Pi (π) bond.
b. HF is a polar molecule
c. Carbon is a tetravalent in nature.
Answer:
a. i. The strength of the bond depends on the extent of overlap of the orbitals. Greater the overlap, stronger is the bond.
ii. A sigma bond is formed by the coaxial overlap of the atomic orbitals which are oriented along the internuclear axis, hence the extent of overlap is maximum.
iii. A pi bond is formed by the lateral overlap of the atomic orbitals which are oriented perpendicular to the internuclear axis, hence the extent of orbital overlapping in side wise manner is less.
Hence, sigma bond is stronger than pi bond.

b. i. When a covalent bond is formed between two atoms of different elements that have different electronegativities, the shared electron pair does not remain at the centre. The electron pair is pulled towards the more electronegative atom resulting in the separation of charges.
ii. In H-F, fluorine is more electronegative than hydrogen. Therefore, the shared electron pair is pulled towards fluorine and fluorine acquires partial -ve charge and simultaneously hydrogen acquires partial +ve charge. This gives rise to dipole and H-F bond becomes polar. Hence, H-F is a polar molecule.

c. The electronic configuration of carbon is:
1s2 2s2 2px1 2py1
One electron from ‘2s’ orbital is promoted to the empty ‘2p’ orbital.
Thus, in excited state, carbon has four half-filled orbitals.
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 14
Hence, carbon can form 4 bonds and is tetravalent in nature.

Question I.
Which type of hybridization is present in ammonia molecule? Write the geometry and bond angle present in ammonia.
Answer:
The type of hybridization present in ammonia (NH3) molecule is sp3.
Geometry of ammonia molecule is pyramidal or distorted tetrahedral.
Bond angle in ammonia molecule is 107°18′.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question J.
Identify the type of orbital overlap present in
a. H2
b. F2
c. H-F molecule.
Explain diagramatically.
Answer:
i. s-s σ overlap:
a. The overlap between two half-filled s orbitals of two different atoms containing unpaired electrons with opposite spins is called s-s overlap.
e.g. Formation of H2 molecule by s-s overlap:
Hydrogen atom (Z = 1) has electronic configuration: 1s1. The 1s1 orbitais of two hydrogen atoms overlap along the internuclear axis to form a σ bond between the atoms in H2 molecule.
b. Diagram:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 15

ii. p-p σ overlap:
a. This type of overlap takes place when two p orbitals from different atoms overlap along the internuclear axis.
e.g. Formation of F2 molecule by p-p overlap:
Fluorine atom (Z = 9) has electronic configuration 1s2 2s2 \(2 \mathrm{p}_{\mathrm{x}}^{2}\) \(2 \mathrm{p}_{\mathrm{y}}^{2}\) \(2 \mathrm{p}_{\mathrm{z}}^{2}\).
During the formation of F2 molecule, half-filled 2pz orbital of one F atom overlaps with similar half-filled 2pz orbital containing electron with opposite spin of another F atom axially and a p-p σ bond is formed.
b. Diagram:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 16

iii. s-p σ overlap:
a. In this type of overlap one half filled s orbital of one atom and one half filled p orbital of another orbital overlap along the internuclear axis.
e.g. Formation of HF molecule by s-p overlap:
Hydrogen atom (Z = 1) has electronic configuration: 1s1 and fluorine atom (Z = 9) has electronic configuration 1s2 2s2 \(2 \mathrm{p}_{\mathrm{x}}^{2}\) \(2 \mathrm{p}_{\mathrm{y}}^{2}\) \(2 \mathrm{p}_{\mathrm{z}}^{2}\). During the formation of HF molecule, half-filled Is orbital of hydrogen atom overlaps coaxially with half-filled 2pz orbital of fluorine atom with opposite electron spin and an s-p σ bond is formed.
b. Diagram:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 17

Question K.
F-Be-F is a liner molecule but H-O-H is angular. Explain.
Answer:
i. In the BeF2 molecule, the central beryllium atom undergoes sp hybridization giving rise to two sp hybridized orbitals placed diagonally opposite with an angle of 180°. Thus, F-Be-F is a linear molecule.

ii. In the H2O molecule, the central oxygen atom undergoes sp3 hybridization giving rise to four sp3 hybridized orbitals directed towards four comers of a tetrahedron. There are two lone pairs of electrons in two of the sp3 hybrid orbitals of oxygen. The lone pair-lone pair repulsion distorts the structure. Hence, H-O-H is angular or V-shaped.

Question L.
BF3 molecule is planar but NH3 pyramidal. Explain.
Answer:
i. In the BF3 molecule, the central boron atom undergoes sp2 hybridization giving rise to three sp2 hybridized orbitals directed towards three comers of an equilateral triangle. Thus, the geometry is trigonal planar.

ii. In the NH3 molecule, the central nitrogen atom undergoes sp3 hybridization giving rise to four sp3 hybridized orbitals directed towards four comers of a tetrahedron. The expected geometry of NH3 molecule is regular tetrahedral with bond angle 109°28′. There is one lone pair of electrons in one of the sp3 hybrid orbitals of nitrogen. The lone pair-bond pair repulsion distorts the bond angle. Hence, the structure of NH3 is distorted and it has pyramidal geometry.

Question M.
In case of bond formation in Acetylene molecule :
a. How many covalend bonds are formed ?
b. State number of sigma and pi bonds formed.
c. Name the type of Hybridisation.
Answer:
a. In acetylene molecule, there are five covalent bonds.
b. In acetylene molecule, there are three sigma bonds and two pi bonds.
c. In acetylene molecule, each carbon atom undergoes sp hybridization.

Question N.
Define :
a. Bond Enthalpy
b. Bond Length
Answer:
a. Bond Enthalpy:
Bond enthalpy is defined as the amount of energy required to break one mole of a bond of one type, present between two atoms in a gaseous state.

b. Bond Length:
Bond length is defined as the equilibrium distance between the nuclei of two covalently bonded atoms in a molecule.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question O.
Predict the shape and bond angles in the following molecules:
a. CF4
b. NF3
c. HCN
d. H2S
Answer:
a. CF4: There are four bond pairs on the central atom. Hence, shape of CF4 is tetrahedral and F-C-F bond angle is 109° 28′.
b. NF3: There are three bond pairs and one lone pair on the central atom. Hence, shape of NF3 is trigonal pyramidal and F-N-F bond angle is less than 109° 28′.
c. HCN: There are two bond pairs on the central atom. Hence, shape of HCN is linear and H-C-N bond angle is 180°.
d. H2S: There are two bond pairs and two lone pairs on the central atom. Hence, shape of H2S is bent or V-shaped and H-S-H bond angle is slightly less than 109° 28′.

4. Using data from the Table, answer the following :
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 18
a. What happens to the bond length when unsaturation increases?
b. Which is the most stable compound?
c. Indicate the relation between bond strength and Bond enthalpy.
d. Comment on overall relation between Bond length, Bond Enthalpy and Bond strength and stability.
Answer:
a. When unsaturation increases, the bond length decreases.
b. The stable compound is ethyne (C2H2).
c. Bond strength ∝ Bond enthalpy
Larger the bond enthalpy, stronger is the bond.
d. As bond length decreases, bond enthalpy, bond strength and stability increase.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

5. Complete the flow chart
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 19
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 20

6. Complete the following Table
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 21
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 22

7. Answer in one sentence:

Question A.
Indicate the factor on which stalility of ionic compound is measured?
Answer:
The stability of an ionic compound is measured by the amount of energy released during lattice formation.

Question B.
Arrange the following compounds on the basis of lattice energies in decreasing (descending) order: BeF2, AlCl3, LiCl, CaCl2, NaCl.
Answer:
AlCl3 > BeF2 > CaCl2 > LiCl > NaCl

Question C.
Give the total number of electrons around sulphur (S) in SF6 compound.
Answer:
The total number of electrons around sulphur (S) in SF6 is 12.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question D.
Covalant bond is directional in nature. Justify.
Answer:
Covalent bond is formed by the overlap of two half-filled atomic orbitals. The atomic orbitals are oriented in specific directions in space (except s-orbital which is spherical). Hence, covalent bond is directional in nature.

Question E.
What are the interacting forces present during formation of a molecule of a compound ?
Answer:
a. Forces of attraction: The nucleus of one atom attracts the electrons of the other atom and vice-versa.
b. Forces of repulsion: The electron of one atom repels the electron of the other atom and vice-versa (as electrons are negatively charged). There is repulsion between the two nuclei (as the nuclei are positively charged).

Question F.
Give the type of overlap by which pi (π) bond is formed.
Answer:
The type of overlap by which pi (π) bond is formed is p-p lateral overlap.

Question G .
Mention the steps involved in Hybridization.
Answer:
The steps involved in hybridization are:

  • formation of the excited state and
  • mixing and recasting of orbitals.

Question H.
Write the formula to calculate bond order of molecule.
Answer:
Bond order of a molecule = \(\frac{\mathrm{N}_{\mathrm{b}}-\mathrm{N}_{\mathrm{a}}}{2}\)
where, Nb is the number of electrons present in bonding MOs and Na is the number of electrons present in antibonding MOs.

Question I.
Why is O2 molecule paramagnetic?
Answer:
The electronic configuration of O2 molecule is (σ1s)2 (σ*1s)2 (σ2s)2 (σ*2s)2 (σ2pz)2 (π2px)2 (π2py)2 (π*2px)1 (π*2py)1
Since the oxygen molecule contains two unpaired electrons, it is paramagnetic.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Question J.
What do you mean by formal charge ? Explain its significance with the help of suitable example.
Answer:
Formal charge is the charge assigned to an atom in a molecule, assuming that all electrons are shared equally between atoms, regardless of their relative electronegativities.

Structure (I):
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 23

Structure (II):
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 24

Structure (III):
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 25

While determining the best Lewis structure per molecule, the structure is chosen such that the formal charge is as close to zero as possible. The structure having the lowest formal charge has the lowest energy.

In structure (I), the formal charge on each atom is 0 while in structures (II) and (III) formal charge on carbon is 0 while oxygens have formal charge -1 or +1. Hence, the possible structure with the lowest energy will be structure (I). Thus, formal charges help in the selection of the lowest energy structure from a number of possible Lewis structures for a given species.

11th Chemistry Digest Chapter 5 Chemical Bonding Intext Questions and Answers

(Textbook Page No. 55)

Question 1.
Why are atoms held together in chemical compounds?
Answer:
Atoms are held together in chemical compounds due to chemical bonds.

Question 2.
How are chemical bonds formed between two atoms?
Answer:
There are two ways of formation of chemical bonds:

  1. by loss and gain of electrons
  2. by sharing a pair of electrons between the two atoms.

In either process of formation of chemical bond, each atom attains a stable noble gas electronic configuration.

Question 3.
Which electrons are involved in the formation of chemical bonds?
Answer:
The electrons present in the outermost shell of an atom are involved in the formation of a chemical bond.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

Internet my friend (Textbook Page No. 55)

Question 1.
Search more atoms, which complete their octet during chemical combinations.
Answer:
In compounds like KCl, MgCl2, CaO, NaF, etc, the constituent atoms complete their octet by lose or gain of electrons.
e.g. K → K+ + e
Cl + e → Cl
K+ + Cl → KCl
[Note: Students are expected to search more atoms on their own.]

Use your brainpower. (Textbook Page No. 60)

Question 1.
Which atom in \(\mathrm{NH}_{4}^{+}\) will have formal charge +1?
Answer:
In \(\mathrm{NH}_{4}^{+}\), nitrogen atom (N) will have formal charge of+1.

Use your brainpower. (Textbook Page No. 61)

Question 1.
How many electrons will be around I in the compound IF7?
Answer:
Lewis structure of IF7 is:
Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding 26
In IF7, iodine (I) atom will be surrounded by 14 electrons.

Question 2.
Why is H2 stable even though it never satisfies the octet rule?
Answer:
The valence shell configuration of hydrogen atom is 1s1. Two hydrogen atoms approach each other and share their valence electrons. By having two electrons in its valence shell, H atom attains the nearest noble gas configuration of He. H2 molecule attains stability due to duplet formation. Hence, H2 is stable even though it never satisfies the octet rule.

Maharashtra Board Class 11 Chemistry Solutions Chapter 5 Chemical Bonding

(Textbook Page No. 64)

Question 1.
Lowering of energy takes during bond formation. How does this happen?
Answer:
i. When two combining atoms approach each other to form a covalent bond, the following interacting forces come into play.

  • Forces of attraction: The nucleus of one atom attracts the electrons of the other atom and vice-versa.
  • Forces of repulsion: The electron of one atom repels the electron of the other atom and vice-versa (as electrons are negatively charged). There is repulsion between the two nuclei (as the nuclei are positively charged).

ii. The balance between attractive and repulsive forces decide whether the bond will be formed or not.
iii. When the magnitude of attractive forces is more than the magnitude of repulsive forces, the energy of the system decreases and a covalent bond is formed.
iv. When the magnitude of repulsive forces becomes more than that of attraction, the total energy of the system increases, and a covalent bond is not formed.
Hence, lowering of energy takes during bond formation.

Can you tell? (TextBook Page No. 76)

Question 1.
Which molecules are polar?
H-I, H-O-H, H-Br, Br2, N2, I2, NH3
Answer:
i. H-I: Polar
ii. H-O-H: Polar
iii. H-Br: Polar
iv. Br2: Nonpolar
v. N2: Nonpolar
vi. I2: Nonpolar
vii. NH3: Polar

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

Balbharti Maharashtra State Board 11th Chemistry Textbook Solutions Chapter 4 Structure of Atom Textbook Exercise Questions and Answers.

Maharashtra State Board 11th Chemistry Solutions Chapter 4 Structure of Atom

1. Choose the correct option.

Question A.
The energy difference between the shells goes on ……….. when moved away from the nucleus.
a. Increasing
b. decreasing
c. equalizing
d. static
Answer:
b. decreasing

Question B.
The value of Plank’s constant is
a. 6.626× 10-34 Js
b. 6.023× 10-24 Js
c. 1.667 × 10-28 Js
d. 6.626× 10-28 Js
Answer:
a. 6.626× 10-34 Js

Question C.
p-orbitals are ……. in shape.
a. spherical
b. dumbbell
c. double dumbbell
d. diagonal
Answer:
b. dumbbell

Question D.
“No two electrons in the same atoms can have an identical set of four quantum numbers”. This statement is known as
a. Pauli’s exclusion principle
b. Hund’s rule
c. Aufbau rule
d. Heisenberg uncertainty principle
Answer:
a. Pauli’s exclusion principle

Question E.
Principal Quantum number describes
a. shape of orbital
b. size of the orbital
c. spin of electron
d. orientation of in the orbital electron cloud
Answer:
b. size of the orbital

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

2. Make the pairs:

AB
a.Neutronsi.six electrons
b.p-orbitalii.-1.6 × 10-19 C
c.charge on electroniii.Ultraviolet region
d.Lyman seriesiv.Chadwick

Answer:
a – iv,
b – i,
c – ii,
d – iii

3. Complete the following information about the isotopes in the chart given below :
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 1
(Hint: Refer to Periodic Table if required)
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 2

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

4. Match the following :
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 16a
Answer:
a – iv,
b – iii,
c – ii,
d – i

5. Answer in one sentence :

Question A.
If an element ‘X’ has mass number 11 and it has 6 neutrons, then write its representation.
Answer:
The representation of the given element is \({ }_{5}^{11} \mathrm{X}\).

Question B.
Name the element that shows simplest emission spectrum.
Answer:
The element that shows simplest emission spectrum is hydrogen.

Question C.
State Heisenberg uncertainty principle.
Answer:
Heisenberg uncertainty principle states that “It is impossible to determine simultaneously, the exact position and exact momentum (or velocity) of an electron”.

Question D.
Give the names of quantum numbers.
Answer:
The four quantum numbers are: principal quantum number (n), azimuthal or subsidiary quantum number (l), magnetic quantum number (ml) and electron spin quantum number (ms).

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

Question E.
Identify from the following the isoelectronic species:
Ne, O2-, Na+ OR Ar, Cl2-, K+
Answer:
Atoms and ions having the same number of electrons are isoelectronic.

SpeciesNo. of electrons
Ne10
O2-8 + 2 = 10
Na+11 – 1 = 10
Ar18
Cl2-17 + 2 = 19
K+19 – 1 = 18

Hence, Ne, O2-, Na+ are isoelectronic species.

6. Answer the following questions.

Question A.
Differentiate between Isotopes and Isobars.
Answer:

No.IsotopesIsobars
i.Isotopes are atoms of same element.Isobars are atoms of different elements.
ii.They have same atomic number but different atomic mass number.They have same atomic mass number but different atomic numbers.
iii.They have same number of protons but different number of neutrons.They have different number of protons and neutrons.
iv.They have same number of electrons.They have different number of electrons.
V.They occupy same position in the modem periodic table.They occupy different positions in the modem periodic table.
vi.They have similar chemical properties.They have different chemical properties.
e.g.\({ }_{6}^{12} \mathrm{C}\) and \({ }_{6}^{14} \mathrm{C}\)\({ }_{6}^{14} \mathrm{C}\) and \({ }_{7}^{14} \mathrm{~N}\)

Question B.
Define the terms:
i. Isotones
ii. Isoelectronic species
iii. Electronic configuration
Answer:
i. Isotones: Isotones are defined as the atoms of different elements having same number of neutrons in their nuclei. e.g. \({ }_{5}^{11} \mathrm{B}\) and \({ }_{6}^{12} \mathrm{C}\) having 6 neutrons each are isotones.

ii. Isoelectronic species:
soelectronic species are defined as atoms and ions having the same number of electrons.
e. g. Ar, Ca2+ and K+ containing 18 electrons each.

iii. Electronic configuration:
Electronic configuration of an atom is defined as the distribution of its electrons in orbitals.

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

Question C.
State and explain Pauli’s exclusion principle.
Answer:
Pauli’s exclusion principle:
i. Statement: “No two electrons in an atom can have the same set of four quantum numbers”. OR “Only two electrons can occupy the same orbital and they must have opposite spins. ”
ii. The capacity of an orbital to accommodate electrons is decided by Pauli’s exclusion principle.
iii. According to this principle, for an electron belonging to the same orbital, the spin quantum number must be different since the other three quantum numbers are the same.
iv. The spin quantum number can have two values: +\(\frac {1}{2}\) and –\(\frac {1}{2}\).
v. Example, consider helium (He) atom with electronic configuration 1 s2.
For the two electrons in Is orbital, the four quantum numbers are as follows:
Electron number Quantum number Set of values of quantum numbers
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 3
Thus, in an atom, any two electrons can have the same three quantum numbers, but the fourth quantum number must be different.
vi. This leads to the conclusion that an orbital can accommodate maximum of two electrons and if it has two electrons, they must have opposite spin.

Question D.
State Hund’s rule of maximum multiplicity with suitable example.
Answer:
Hund’s rule of maximum multiplicity:
i. Statement: “Pairing of electrons in the orbitals belonging to the same subshell does not occur unless each orbital belonging to that subshell has got one electron each.”
ii. Example, according to Hund’s rule, each of the three-degenerate p-orbitals must get one electron of parallel spin before any one of them receives the second electron of opposite spin. Therefore, the configuration of four electrons occupying p-orbitals is represented as
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 4
iii. As a result of Hund’s rule, the atom with fully filled and half-filled set of degenerate orbitals has extra stability.

Question E.
Write the drawbacks of Rutherford’s model of an atom.
Answer:
Drawbacks of Rutherford’s model of an atom:
i. Rutherford’s model of an atom resembles the solar system with the nucleus playing the role of the massive sun and the electrons are lighter planets. Thus, according to this model, electrons having negative charge revolve in various orbits around the nucleus. However, the electrons revolving about the nucleus in fixed orbits pose a problem. Such orbital motion is an accelerated motion accompanied by a continuous change in the velocity of electron as noticed from the continuously changing direction. According to Maxwell’s theory of electromagnetic radiation, accelerated charged particles would emit electromagnetic radiation. Hence, an electron revolving around the nucleus should continuously emit radiation and lose equivalent energy. As a result, the orbit would shrink continuously and the electron would come closer to the nucleus by following a spiral path. It would ultimately fall into the nucleus. Thus, Rutherford’s model has an intrinsic instability of atom. However, real atoms are stable.

ii. Rutherford’s model of an atom does not describe the distribution of electrons around the nucleus and their energies.

Question F.
Write postulates of Bohr’s Theory of hydrogen atom.
Answer:
Postulates of Bohr’s theory of hydrogen atom:
i. The electron in the hydrogen atom can move around the nucleus in one of the many possible circular paths of fixed radius and energy. These paths are called orbits, stationary states or allowed energy states. These orbits are arranged concentrically around the nucleus in an increasing order of energy.

ii. The energy of an electron in the orbit does not change with time. However, the electron will move from a lower stationary state to a higher stationary state if and when the required amount of energy is absorbed by the electron. Energy is emitted when electron moves from a higher stationary state to a lower stationary state. The energy change does not take place in a continuous manner.

iii. The frequency of radiation absorbed or emitted when transition occurs between two stationary states that differ in energy by ΔE is given by the following expression:
ν = \(\frac{\Delta E}{h}=\frac{E_{2}-E_{1}}{h}\) ………….(1)
Where E1 and E2 are the energies of the lower and higher allowed energy states respectively. This expression is commonly known as Bohr’s frequency rule.

iv. The angular momeñtum of an electron in a given stationary state can be expressed as mvr = n × h/2π
where, n 1,2, 3
Thus, an electron can move only in those orbits for which its angular momentum is integral multiple of h/2π.
Thus, only certain fixed orbits are allowed.

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

Question G.
Mention demerits of Bohr’s Atomic model.
Answer:
Demerits of Bohr’s atomic model:

  • Bohr’s atomic model (theory) failed to account for finer details of the atomic spectrum of hydrogen as observed in sophisticated spectroscopic experiments.
  • Bohr’s atomic model (theory) was unable to explain the spectrum of atoms other than hydrogen.
  • Bohr’s atomic model (theory) could not explain the splitting of spectral lines in the presence of a magnetic field (Zeeman effect) or electric field (Stark effect).
  • Bohr’s atomic model (theory) failed to explain the ability of atoms to form molecules by chemical bonds.

Question H.
State the order of filling atomic orbitals following Aufbau principle.
Answer:
Aufbau principle:
i. Aufbau principle gives the sequence in which various orbitals are filled with electrons.
ii. In the ground state of an atom, the orbitals are filled with electrons based on increasing order of energies of orbitals, Pauli’s exclusion principle and Hund’s rule of maximum multiplicity.
iii. Increasing order of energies of orbitals:

  • Orbitals are filled in order of increasing value of (n + l)
  • In cases where the two orbitals have same value of (n + l), the orbital with lower value of n is filled first.

iv. The increasing order of energy of different orbitals in a multi-electron atom is:
1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d < 5p < 6s < 4f < 5d < 6p < 7s and so on.
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 5

Question I.
Explain the anomalous behavior of copper and chromium.
Answer:
i. Copper:

  • Copper (Cu) has atomic number 29.
  • Its expected electronic configuration is 1s2 2s2 2p6 3s2 3p6 4s2 3d9.
  • The 3d orbital is neither half-filled nor fully filled. Hence, it has less stability.
  • Due to interelectronic repulsion forces, one 4s electron enters into 3d orbital. This makes 3d orbital completely filled and 4s orbital half-filled which gives extra stability and the electronic configuration of Cu becomes, 1s2 2s2 2p6 3s2 3p6 4s1 3d10.

ii. Chromium:

  • Chromium (Cr) has atomic number 24.
  • Its expected electronic configuration is 1s2 2s2 2p6 3s2 3p6 4s23d4.
  • The 3d orbital is less stable as it is not half-filled.
  • Due to inter electronic repulsion forces, one 4s electron enters into 3d orbital. This makes 4s and 3d orbitals half-filled which gives extra stability and the electronic configuration of Cr becomes, 1s2 2s2 2p6 3s2 3p6 4s1 3d5.

Question J.
Write orbital notations for electrons in orbitals with the following quantum numbers.
a. n = 2, l =1
b. n = 4, l = 2
c. n = 3, l = 2
Answer:
i. 2p
ii. 4d
iii. 3d

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

Question K.
Write electronic configurations of Fe, Fe2+, Fe3+
Answer:

SpeciesOrbital notation
Fe1s2 2s2 2p63s2 3p6 4s2 3d6 OR [Ar] 4s2 3d6
Fe2+Is2 2s2 2p6 3s2 3p6 3d6 OR [Ar] 3d6
Fe3+1s2 2s2 2p6 3s2 3p6 3d5 OR [Ar] 3d5

Question L.
Write condensed orbital notation of electonic configuration of the following elements:
a. Lithium (Z = 3)
b. Carbon (Z=6)
c. Oxygen (Z = 8)
d. Silicon (Z = 14)
e. Chlorine (Z = 17)
f. Calcium (Z = 20)
Answer:

No.ElementCondensed orbital notation
i.Lithium (Z = 3)[He] 2s1
ii.Carbon (Z = 6)[He] 2s2 2p2
iii.Oxygen (Z = 8)[He] 2s2 2p4
iv.Silicon (Z = 14)[Ne] 3s2 3p2
v.Chlorine (Z = 17)[Ne] 3s2 3p5
vi.Calcium (Z = 20)[Ar] 4s2

Question M.
Draw shapes of 2s and 2p orbitals.
Answer:
2s orbital:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 6

2p orbital:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 7

Question N.
Explain in brief, the significance of azimuthal quantum number.
Answer:
Azimuthal quantum number (l):

  • Azimuthal quantum number is also known as subsidiary quantum number and is represented by letter l.
  • It represents the subshell to which the electron belongs. It also defines the shape of the orbital that is occupied by the electron.
  • Its value depends upon the value of principal quantum number ‘n’. It can have only positive values between 0 and (n – 1).
  • Atomic orbitals with the same value of ‘n’ but different values of ‘l’ constitute a subshell belonging to the shell for the given ‘n’ The azimuthal quantum number gives the number of subshells in a principal shell. The subshells have l to be 0, 1, 2,3 … which are represented by symbols s, p, d, f, … respectively.

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 8

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

Question O.
If n = 3, what are the quantum number l and ml?
Answer:
: For a given n, l = 0 to (n – 1) and for given l, ml = -l……, 0…….. + l
Therefore, the possible values of l and ml for n = 3 are:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 9

Question P.
The electronic configuration of oxygen is written as 1s2 2s2 2px2 2py1 2pz1 and not as 1s2 2s2 2px2 2py2 2pz0. Explain.
Answer:

  • According to Hund’s rule of maximum multiplicity “Pairing of electrons in the orbitals belonging to the same subshell does not occur unless each orbital belonging to that subshell has got one electron each.”
  • Oxygen has 8 electrons. The first two electrons will pair up in the Is orbital, the next two electrons will pair up in the 2s orbital and this leaves 4 electrons, which must be placed in the 2p orbitals.
  • Each of the three degenerate p-orbitals must get one electron of parallel spin before any one of them receives the second electron of opposite spin. Therefore, two p orbitals have one electron each and one p-orbital will have two electrons.

Thus, the electronic configuration of oxygen is written as 1s2 2s2 2px2 2py1 2pz1 and not as 1s2 2s2 2px2 2py2 2pz0.

Question Q.
Write note on ‘Principal Quantum number.
Answer:
Principal quantum number (n):
i. Principal quantum number indicates the principal shell or main energy level to which the electron belongs.
ii. It is denoted by ‘n’ and is a positive integer with values 1, 2, 3, 4, 5, 6, ….
iii. A set of atomic orbitals with given value of ‘n’ constitutes a single shell. These shells are also represented by the letters K, L, M, N, etc.
iv. With increase of ‘n’, the number of allowed orbitals in that shell increases and is given by n2.
v. The allowed orbitals in the first four shells are given below:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 10
vi. As the value of ‘n’ increases, the distance of the shell from the nucleus increases and the size of the shell increases. Its energy also goes on increasing.

Question R.
Using concept of quantum numbers, calculate the maximum numbers of electrons present in the ‘M’ shell. Give their distribution in shells, subshells and orbitals.
Answer:
i. Each main shell contains a maximum of 2n2 electrons.
For ‘M’ shell, n = 3.
Therefore, the maximum numbers of electrons present in the ‘M’ shell = 2 × (3)2 = 18.

ii. The distribution of these electrons in shells, subshells and orbitals can be given as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 11
Note: Orbital distribution in the first four shells:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 12
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 13

Question S.
Indicate the number of unpaired electrons in :
a. Si (Z = 14)
b. Cr (Z = 24)
Answer:
i. . Si (Z = 14): 1s2 2s2 2p6 3s2 3p2
Orbital diagram:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 14
Number of unpaired electrons = 2

ii. Cr (Z = 24): 1s2 2s2 2p6 3s2 3p6 4s1 3d5
Orbital diagram:
Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom 15
Number of unpaired electrons = 6

Question T.
An atom of an element contains 29 electrons and 35 neutrons. Deduce-
a. the number of protons
b. the electronic configuration of that element.
Answer:
a. In an atom, number of protons is equal to number of electrons.
The given atom contains 29 electrons.
∴ Number of protons = 29

b. The electronic configuration of an atom of an element containing 29 electrons is:
1s2 2s2 2p6 3s2 3p6 4s1 3d10
[Note: Given element is copper (Cu) with Z = 29]

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

11th Chemistry Digest Chapter 4 Structure of Atom Intext Questions and Answers

Can you recall? (Textbook Page No. 35)

Question i.
What is the smallest unit of matter?
Answer:
The smallest unit of matter is atom.

Question ii.
What is the difference between molecules of an element and those of a compound?
Answer:
The molecules of an element are made of atoms of same element while the molecules of a compound are made of atoms of different elements.

Question iii.
Does an atom have any internal structure or is it indivisible?
Answer:
Yes, an atom has internal structure. Different subatomic particles such as protons, electrons and neutrons constitute an atom. So, it is divisible.

Question iv.
Which particle was identified by J. J. Thomson in the cathode ray tube experiment?
Answer:
Electron was identified by J.J. Thomson in the cathode ray tube experiment.

Question v.
Which part of an atom was discovered by Ernest Rutherford from the experiment of scattering of α-particles by gold foil?
Answer:
Nucleus of an atom was discovered by Ernest Rutherford from the experiment of scattering of α-particles by gold foil.

Maharashtra Board Class 11 Chemistry Solutions Chapter 4 Structure of Atom

Just Think (Textbook Page No. 41)

Question 1.
What does the negative sign of electron energy convey?
Answer:
Negative sign for the energy of an electron in any orbit in a hydrogen atom indicates that the energy of the electron in the atom is lower than the energy of a free electron at rest. A free-electron at rest is an electron that is infinitely far away from the nucleus and is assigned the energy value of zero.

As the electron gets close to the nucleus, value of ‘n’ decreases and En becomes large in absolute value and more negative. The negative sign corresponds to attractive forces between electron and nucleus.

Internet my friend (Textbook Page No. 44)

Question 1.
Collect information about the structure of atom.
Answer:
Students can use links given below as references and collect information about structure of atom on their own.
https://www.livescience.com/65427-fundamental-elementary-particles.html http://www.chemistryexplained.com/Ar-Bo/Atomic-Structure.html
https://www.thoughtco.com/basic-model-of-the-atom-603799

Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques

Balbharti Maharashtra State Board 11th Chemistry Textbook Solutions Chapter 3 Basic Analytical Techniques Textbook Exercise Questions and Answers.

Maharashtra State Board 11th Chemistry Solutions Chapter 3 Basic Analytical Techniques

1. Choose the correct option

Question A.
Which of the following methods can be used to separate two compounds with different solubilities in the same solvent?
a. Fractional crystallization
b. Crystallization
c. Distillation
d. Solvent extraction
Answer:
a. Fractional crystallization

Question B.
Which of the following techniques is used for the separation of glycerol from soap in the soap industry?
a. Distillation under reduced pressure
b. Fractional distillation
c. Filtration
d. Crystallization
Answer:
a. Distillation under reduced pressure

Question C.
Which technique is widely used in industry to separate components of the mixture and also to purify them?
a. Steam distillation
b. Chromatography
c. Solvent extraction
d. Filtration
Answer:
b. Chromatography

Question D.
A mixture of acetone and benzene can be separated by the following method :
a. Simple distillation
b. Fractional distillation
c. Distillation under reduced pressure
d. Sublimation
Answer:
b. Fractional distillation

Question E.
Colourless components on chromatogram can not be observed by the following :
a. Using UV light
b. Using iodine chamber
c. Using the spraying reagent
d. Using infrared light
Answer:
d. Using infrared light

Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques

2. Answer the following

Question A.
Which of the following techniques is used for purification of solid organic compounds?
a. Crystallisation
b. Distillation
Answer:
Solid (crude/impure) organic compounds can be purified by crystallization.

Question B.
What do you understand by the terms
a. residue
b. filtrate.
Answer:
a. Residue: In the process of filtration, the insoluble (undissolved) impurities which remain on the filter paper are called residue.

b. Filtrate: In the process of filtration, the liquid which pass through the filter paper and collected in the beaker is called filtrate.

Question C.
Why is a condenser used in distillation process?
Answer:
In the process of distillation, a liquid is converted into its vapour and the vapour is then condensed back to liquid on cooling. The condenser has a jacket with two outlets through which water is circulated. Hence, to provide efficient cooling, a condenser is used.

Question D.
Why is paper moistened before filtration?
Answer:
Before filtration, filter paper is moistened with appropriate solvent to ensure that it sticks to the funnel and does not let the air to pass through the leaks.

Question E.
What is the stationary phase in Paper Chromatography?
Answer:
Paper chromatography is a type of partition chromatography in which a special quality paper, namely Whatman paper 1 is used. The water trapped in the fibres of the paper acts as stationary phase.

Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques

Question F.
What will happen if the upper outlet of the condenser is connected to the tap instead of the lower outlet?
Answer:

  • If water enters through upper outlet of condenser, the water will quickly flow down under the influence of gravity. This allows only a small section of the condenser to be cooled enough.
  • If water enters through lower outlet of condenser, the entire condenser will be filled with water before it leaves out providing maximum cooling to the condenser. This results in maximum recovery of purified liquid.

Hence, water must be allowed to enter through lower outlet of condenser during distillation process.

Question G.
Give names of two materials used as stationary phase in chromatography.
Answer:

  1. Alumina
  2. Silica gel

Question H.
Which properties of solvents are useful for solvent extraction?
Answer:

  • Organic compound must be more soluble in the organic solvent, than in water.
  • Solvent should be immiscible with water and be able to form two distinct layers.

Question I.
Why should spotting of mixture be done above the level of mobile phase ?
Answer:

  • If spotting of a mixture is done at the level of mobile phase, then solvent will come in contact with the sample spot.
  • Sample spot will dissolve in the mobile phase and its components will move all over the plate resulting in no distinct separation.

Hence, spotting of mixture should be done above the level of mobile phase.

Question J.
Define : a. Stationary phase b. Saturated solution
Answer:
a. Stationary phase:
Stationary phase is a solid or a liquid supported on a solid which remains fixed in a place and on which different solutes are adsorbed to a different extent.

b. Saturated solution:
A saturated solution is a solution which cannot dissolve additional quantity of a solute.

Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques

Question K.
What is the difference between simple distillation and fractional distillation?
Answer:

No.Simple distillationFractional distillation
i.If in a mixture the difference in boiling points of two liquids is appreciable/large, they are separated from each other using the simple distillation.If in a mixture the difference in boiling points of two liquids is not appreciable/large, they are separated from each other using the fractional distillation.
ii.Simple distillation assembly is used.fractionating column is fitted in distillation assembly.
e.g.Mixture of acetone (b.p. 329 K) and water (b.p. 373 K) can be separated by this method.Mixture of acetone (b.p. 329 K) and methanol (b.p. 337.7 K) can be separated by this method.

Question L.
Define a. Solvent extraction
b. Distillation.
Answer:
a. Solvent extraction:
Solvent extraction is a method used to separate an organic compound present in an aqueous solution, by shaking it with a suitable organic solvent in which the compound is more soluble than water.

b. Distillation:
The process in which liquid is converted into its vapour phase at its boiling point and the vapour is then condensed back to liquid on cooling is known as distillation.

Question M.
List the properties of solvents which make them suitable for crystallization.
Answer:
The solvent to be used for crystallization should have following properties:

  • The compound to be crystallized should be least or sparingly soluble in the solvent at room temperature but highly soluble at high temperature.
  • Solvent should not react chemically with the compound to be purified.
  • Solvent should be volatile so that it can be removed easily.

Question N.
Name the different types of Chromatography and explain the principles underlying them.
Answer:
Depending on the nature of the stationary phase i.e., whether it is a solid or a liquid, chromatography is classified into adsorption chromatography and partition chromatography.
i. Adsorption chromatography: This technique is based on the principle of differential adsorption. Different solutes are adsorbed on an adsorbent to different extent.

Adsorption chromatography is further classified into two types:

  1. Column chromatography
  2. Thin-layer chromatography

ii. Partition chromatography: This technique is based on continuous differential partitioning of components of a mixture between stationary and mobile phases. For example, paper chromatography

Question O.
Why do we see bands separating in column chromatography?
Answer:

  • In column chromatography, the solutes get adsorbed on the stationary phase and depending on the degree to which they are adsorbed, they get separated from each other.
  • The component which is readily adsorbed are retained on the column and others move down the column to various distances forming distinct bands.

Hence, we see bands separating in column chromatography.

Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques

Question P.
How do you visualize colourless compounds after separation in TLC and Paper Chromatography?
Answer:
i. Thin-layer chromatography (TLC): If components are colourless but have the property of fluorescence then they can be visualized under UV light, or the plate can be kept in a chamber containing a few iodine crystals. The iodine vapours are adsorbed by the components and the spots appear brown. Also, spraying agent like ninhydrin can also be used (for amino acids).

ii. Paper Chromatography: The spots of the separated colourless components may be observed either under ultra-violet light or by the use of an appropriate spraying agent.

Question Q.
Compare TLC and Paper Chromatography techniques.
Answer:

Chromatography technique

TLCPaper chromatography
PrincipleIt is based on the principle of differential adsorption. Different solutes are adsorbed on an adsorbent to different extent.It is based on continuous differential partitioning of components of a mixture between stationary and mobile phases.
Stationary phaseSolid (adsorbent like silica gel or alumina over a glass plate)Liquid (water trapped in the fibres of a Paper)
Mobile phaseLiquid (single solvent/mixture of solvents)Liquid (single solvent/mixture of solvents)
Visualization of components of a mixtureSimilar to TLC the coloured components are visible as coloured spots and the colourless components are observed under UV light or using a spraying agent.

Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques

3. Label the diagram and explain the process in your words.
Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques 1
Answer:
When filtration is carried out using a vacuum pump it is called filtration under suction. It is a faster and more efficient technique than simple filtration. The diagram is as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 3 Basic Analytical Techniques 2
ii. Procedure:

  • The assembly for filtration under suction consists of a thick wall conical flask with a sidearm (Buchner flask).
  • The flask is connected to a safety bottle by rubber tube through the side arm.
  • Buchner funnel (a special porcelain funnel with a porous circular bottom) is fitted on the conical flask with the help of a rubber cork.
  • A circular filter paper of correct size is placed on the circular porous bottom of the Buchner funnel and the funnel is placed on the flask.
  • Filter paper is moistened with a few drops of water or solvent.
  • Suction is created by starting the pump and filtration is carried out.

iii. Crystals are collected on the filter paper and filtrate in the flask.

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Balbharti Maharashtra State Board 11th Chemistry Textbook Solutions Chapter 2 Introduction to Analytical Chemistry Textbook Exercise Questions and Answers.

Maharashtra State Board 11th Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

1. Choose the correct option

Question A.
The branch of chemistry which deals with the study of separation, identification, and quantitative determination of the composition of different substances is called………………..
a. Physical chemistry
b. Inorganic chemistry
c. Organic chemistry
d. Analytical chemistry
Answer:
d. Analytical chemistry

Question B.
Which one of the following property of matter is Not quantitative in nature ?
a. Mass
b. Length
c. Colour
d. Volume
Answer:
c. Colour

Question C.
SI unit of mass is ……..
a. kg
b. mol
c. pound
d. m3
Answer:
a. kg

Question D.
The number of significant figures in 1.50 × 104 g is ………..
a. 2
b. 3
c. 4
d. 6
Answer:
b. 3

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question E.
In Avogadro’s constant 6.022 × 1023 mol-1, the number of significant figures is ……….
a. 3
b. 4
c. 5
d. 6
Answer:
b. 4

Question F.
By decomposition of 25 g of CaCO3, the amount of CaO produced will be ……………….
a. 2.8 g
b. 8.4 g
c. 14.0 g
d. 28.0 g
Answer:
c. 14.0 g

Question G.
How many grams of water will be produced by complete combustion of 12g of methane gas
a. 16
b. 27
c. 36
d. 56
Answer:
b. 27

Question H.
Two elements A (At. mass 75) and B (At. mass 16) combine to give a compound having 75.8 % of A. The formula of the compound is
a. AB
b. A2B
c. AB2
d. A2B3
Answer:
d. A2B3

Question I.
The hydrocarbon contains 79.87 % carbon and 20.13 % of hydrogen. What is its empirical formula ?
a. CH
b. CH2
c. CH3
d. C2H5
Answer:
c. CH3

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question J.
How many grams of oxygen will be required to react completely with 27 g of Al? (Atomic mass : Al = 27, O = 16)
a. 8
b. 16
c. 24
d. 32
Answer:
c. 24

Question K.
In CuSO4.5H2O the percentage of water is ……
(Cu = 63.5, S = 32, O = 16, H = 1)
a. 10 %
b. 36 %
c. 60 %
d. 72 %
Answer:
b. 36 %

Question L.
When two properties of a system are mathematically related to each other, the relation can be deduced by
a. Working out mean deviation
b. Plotting a graph
c. Calculating relative error
d. all the above three
Answer:
b. Plotting a graph

2. Answer the following questions

Question A.
Define : Least count
Answer:
The smallest quantity that can be measured by the measuring equipment is called least count.

Question B.
What do you mean by significant figures? State the rules for deciding significant figures.
Answer:
i. The significant figures in a measurement or result are the number of digits known with certainty plus one uncertain digit.
ii. Rules for deciding significant figures:
a. All non-zero digits are significant.
e.g. 127.34 g contains five significant figures which are 1, 2, 7, 3 and 4.
b. All zeros between two non-zero digits are significant, e.g. 120.007 m contains six significant figures.
c. Zeros on the left of the first non-zero digit are not significant. Such a zero indicates the position of the decimal point.
e.g. 0.025 has two significant figures, 0.005 has one significant figure.
d. Zeros at the end of a number are significant if they are on the right side of the decimal point,
e. g. 0.400 g has three significant figures and 400 g has one significant figure.
e. In numbers written is scientific notation, all digits are significant.
e.g. 2.035 × 102 has four significant figures and 3.25 × 10-5 has three significant figures.

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question C.
Distinguish between accuracy and precision.
Answer:
Accuracy:

  1. Accuracy refers to nearness of the measured value to the true value.
  2. Accuracy represents the correctness of the measurement.
  3. Accuracy is expressed in terms of absolute error and relative error.
  4. Accuracy takes into account the true or accepted value.
  5. Accuracy can be determined by a single measurement.
  6. High accuracy implies smaller error.

Precision:

  1. Precision refers to closeness of multiple readings of the same quantity.
  2. Precision represents the agreement between two or more measured values.
  3. Precision is expressed in terms of absolute deviation and relative deviation.
  4. Precision does not take into account the true or accepted value.
  5. Several measurements are required to determine precision.
  6. High precision implies reproducibility of the readings.

Question D.
Explain the terms percentage composition, empirical formula and molecular formula.
Answer:
Percentage Composition:

  • The percentage composition of a compound is the percentage by weight of each element present in the compound.
  • Quantitative determination of the constituent elements by suitable methods provides the percent elemental composition of a compound.
  • If the percent total is not 100, the difference is considered as percent oxygen.
  • From the percentage composition, the ratio of the atoms of the constituent elements in the molecule is calculated.

Empirical Formula:
The simplest ratio of atoms of the constituent elements in a molecule is called the empirical formula of that compound.
e.g. The empirical formula of benzene is CH.

Molecular Formula:
1. Molecular formula of a compound is the formula which indicates the actual number of atoms of the constituent elements in a molecule.
e.g. The molecular formula of benzene is C6H6.
2. It can be obtained from the experimentally determined values of percent elemental composition and molar mass of that compound.
3. Molecular formula can be obtained from the empirical formula if the molar mass is known.
Molecular formula = r × Empirical formula

Question E.
What is a limiting reagent ? Explain.
Answer:
Limiting reagent:

  • The reactant which gets consumed and limits the amount of product formed is called the limiting reagent.
  • When a chemist carries out a reaction, the reactants are not usually present in exact stoichiometric amounts, that is, in the proportions indicated by the balanced equation.
  • This is because the goal of a reaction is to produce the maximum quantity of a useful compound from the starting materials. Frequently, a large excess of one reactant is supplied to ensure that the more expensive reactant is completely converted into the desired product.
  • The reactant which is present in lesser amount gets consumed after some time and subsequently, no further reaction takes place, whatever be the amount left of the other reactant present.

Hence, limiting reagent is the reactant that gets consumed entirely and limits the reaction.

Question F.
What do you mean by SI units ? What is the SI unit of mass ?
Answer:
i. In 1960, the general conference of weights and measures proposed revised metric system, called International system of Units i.e. SI units, abbreviated from its French name.
ii. The SI unit of mass is kilogram (kg).

Question G.
Explain the following terms
(a) Mole fraction
(b) Molarity
(c) Molality
Answer:
(a) Mole fraction: Mole fraction is the ratio of number of moles of a particular component of a solution to the total number of moles of the solution.

If a substance ‘A’ dissolves in substance ‘B’ and their number of moles are nA and nB, respectively, then the mole fraction of A and B are given as:
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 1

(b) Molarity: Molarity is defined as the number of moles of the solute present in 1 litre of the solution. It is the most widely used unit and is denoted by M.
Molarity is expressed as follows:
Molarity (M) = \(\frac{\text { Number of moles of solute }}{\text { Volume of solution in litres }}\)

Molality: Molality is the number of moles of solute present in 1 kg of solvent. It is denoted by m. Molality is expressed as follows:
Molality (m) = \(\frac{\text { Number of moles of solute }}{\text { Mass of solvent in kilograms }}\)

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question H.
Define : Stoichiometry
Answer:
The study of quantitative relations between the amount of reactants and/or products is called stoichiometry.

Question I.
Why there is a need of rounding off figures during calculation ?
Answer:

  • When performing calculations with measured quantities, the rule is that the accuracy of the final result is limited to the accuracy of the least accurate measurement.
  • In other words, the final result cannot be more accurate than the least accurate number involved in the calculation.
  • Sometimes, the final result of a calculation often contains figures that are not significant.
  • When this occurs, the final result is rounded off.

Question J.
Why does molarity of a solution depend upon temperature ?
Answer:

  • Molarity is the number of moles of the solute present in 1 litre of the solution. Therefore, molarity depends on the volume of the solution.
  • Volume of the solution varies with the change in temperature.

Hence, molarity of a solution depends upon temperature.

Question M.
Define Analytical chemistry. Why is accurate measurement crucial in science?
Answer:
The branch of chemistry which deals with the study of separation, identification, qualitative and quantitative determination of the compositions of different substances, is called analytical chemistry.

1. The accuracy of measurement is of great concern in analytical chemistry. This is because faulty equipment, poor data processing, or human error can lead to inaccurate measurements. Also, there can be intrinsic errors in analytical measurement.
2. When measurements are not accurate, this provides incorrect data that can lead to wrong conclusions. For example, if a laboratory experiment requires a specific amount of a chemical, then measuring the wrong amount may result in an unsafe or unexpected outcome.
3. Hence, the numerical data obtained experimentally are treated mathematically to reach some quantitative conclusion.
4. Also, an analytical chemist has to know how to report the quantitative analytical data, indicating the extent of the accuracy of measurement, perform the mathematical operation, and properly express the quantitative error in the result.

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

3. Solve the following questions

Question A.
How many significant figures are in each of the following quantities ?
a. 45.26 ft
b. 0.109 in
c. 0.00025 kg
d. 2.3659 × 10-8 cm
e. 52.0 cm3
f. 0.00020 kg
g. 8.50 × 104 mm
h. 300.0 cg
Answer:
a. 4
b. 3
c. 2
d. 5
e. 3
f. 2
g. 3
h. 4

Question B.
Round off each of the following quantities to two significant figures :
a. 25.55 mL
b. 0.00254 m
c. 1.491 × 105 mg
d. 199 g
Answer:
a. 26 mL
b. 0.0025 m
c. 1.5 × 105 mg
d. 2.0 × 102 g

Question C.
Round off each of the following quantities to three significant figures :
a. 1.43 cm3
b. 458 × 102 cm
c. 643 cm2
d. 0.039 m
e. 6.398 × 10-3 km
f. 0.0179 g
g. 79,000 m
h. 42,150
i. 649.85
j. 23,642,000 mm
k. 0.0041962 kg
Answer:
a. 43 cm3
b. 4.58 × 104 cm
c. 643 cm2 (or 6.43 × 102 cm2)
d. 0.0390 m (or 3.90 × 10-2 m)
e. 6.40 × 10-3 km
f. 0.0179 g (or 1.79 × 10-2 m)
g. 7.90 × 104 m
h. 4.22 × 104 (or 42,200)
i. 6.50 × 102
j. 2.36 × 107 mm
k. 0.00420 kg (or 4.20 × 10-3 kg)

Question D.
Express the following sum to appropriate number of significant figures :
a. 2.3 × 103 mL + 4.22 × 104 mL + 9.04 × 103 mL + 8.71 × 105 mL;
b. 319.5 g – 20460 g – 0.0639 g – 45.642 g – 4.173 g
Answer:
To perform addition/subtraction operation, first the numbers are written in such a way that they have the same exponent. The coefficients are then added/subtracted.
a. (0.23 × 104 mL) + (4.22 × 104 mL) +(0.904 × 104 mL) + (87.1 × 104 mL)
= (0.23 + 4.22 + 0.904 + 87.1) × 104 mL
= 92.454 × 104 mL
= 9.2454 × 105
= 9.2 × 105 mL
b. 319.5 g – 20460 g – 0.0639 g – 45.642 g – 4.173 g
= – 20190.3789 g
= – 20190 g
Ans: Sum to appropriate number of significant figures = 9.2 × 105 mL
ii. Sum to appropriate number of significant figures = – 20190 g
[Note: In addition and subtraction, the final answer is rounded to the minimum number of decimal point of the number taking part in calculation. If there is no decimal point, then the final answer will have no decimal point.]

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

4. Solve the following problems

Question A.
Express the following quantities in exponential terms.
a. 0.0003498
b. 235.4678
c. 70000.0
d. 1569.00
Answer:
a. 0.0003498 = 3.498 × 10-4
b. 235.4678 = 2.354678 × 102
c. 70000.0 = 7.00000 × 104
d. 1569.00 = 1.56900 × 103

Question B.
Give the number of significant figures in each of the following
a. 1.230 × 104
b. 0.002030
c. 1.23 × 104
d. 1.89 × 10-4
Answer:
a. 4
b. 4
c. 3
d. 3

Question C.
Express the quantities in above (B) with or without exponents as the case may be.
Answer:
a. 12300
b. 2.030 × 10-3
c. 12300
d. 0.000189

Question D.
Find out the molar masses of the following compounds :
a. Copper sulphate crystal (CuSO4.5H2O)
b. Sodium carbonate, decahydrate (Na2CO3.10H2O)
c. Mohr’s salt [FeSO4(NH4)2SO4.6H2O]
(At. mass : Cu = 63.5; S = 32; O = 16; H = 1; Na = 23; C = 12; Fe = 56; N = 14)
Answer:
a. Molar mass of CuSO4.5H2O
= (1 × At. mass Cu) + (1 × At. mass S) + (9 × At. mass O) + (10 × At. mass H)
= (1 × 63.5) + (1 × 32) + (9 × 16) + (10 × 1)
= 63.5 + 32 + 144 + 10
= 249.5 g mol-1
Molar mass of CuSO4.5H2O = 249.5 g mol-1

b. Molar mass of Na2CO3.10H2O
= (2 × At. mass Na) + (1 × At. mass C) + (13 × At. mass O) + (20 × At. mass H)
= (2 × 23) + (1 × 12) + (13 × 16) + (20 × 1)
= 46 + 12 + 208 + 20
= 286 g mol-1
Molar mass of Na2CO3.10H2O = 286 g mol-1

c. Molar mass of [FeSO4(NH4)2SO4.6H2O]
= (1 × At. mass Fe) + (2 × At. mass S) + (2 × At. mass N) + (14 × At. mass O) + (20 × At. mass H)
= (1 × 56) + (2 × 32) + (2 × 14) + (14 × 16) + (20 × 1)
= 56 + 64 + 28 + 224 + 20
= 392 g mol-1
Molar mass of [FeSO4(NH4)2SO4.6H2O] = 392 g mol-1

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question E.
Work out the percentage composition of constituents elements in the following compounds :
a. Lead phosphate [Pb3(PO4)2],
b. Potassium dichromate (K2Cr2O7),
c. Macrocosmic salt – Sodium ammonium hydrogen phosphate, tetrahydrate (NaNH4HPO4.4H2O)
(At. mass : Pb = 207; P = 31; O = 16; K = 39; Cr = 52; Na = 23; N = 14)
Answer:
Given: Atomic mass: Pb = 207; P = 31; O = 16; K = 39; Cr = 52; Na = 23; N = 14
To find: The percentage composition of constituent elements
Formula:
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 2
Calculation:
i. Lead phosphate [Pb3(PO4)2]
Molar mass of Pb3(PO4)2 = 3 × (207) + 2 × (31) + 8 × (16) = 621 + 62 + 128 = 811 g mol-1
Percentage of Pb = \(\frac {621}{811}\) × 100 = 76.57%
Percentage of P = \(\frac {621}{811}\) × 100 = 7.64%
Percentage of O = \(\frac {128}{811}\) × 100 = 15.78%

ii. Potassium dichromate (K2Cr2O7)
Molar mass of K2Cr2O7 = 2 × (39) + 2 × (52) + 7 × (16) = 78 + 104 + 112 = 294 g mol-1
Percentage of K = \(\frac {78}{294}\) × 100 = 26.53%
Percentage of Cr = \(\frac {104}{294}\) × 100 = 35.37%
Percentage of O = \(\frac {112}{294}\) × 100 = 38.10%

iii. Microcosmic salt – Sodium ammonium hydrogen phosphate, tetrahydrate (NaNH4HPO4.4H2O)
Molar mass of NaNH4HPO4.4H2O = 1 × (23) + 1 × (14) + 1 × (31) + 13 × (1) + 8 × (16)
= 23 + 14 + 31 + 13 + 128 = 209 g mol-1
Percentage of Na = \(\frac {23}{209}\) × 100 = 11.00%
Percentage of N = \(\frac {14}{209}\) × 100 = 6.70%
Percentage of P = \(\frac {31}{209}\) × 100 = 14.83%
Percentage of H = \(\frac {13}{209}\) × 100 = 6.22%
Percentage of O = \(\frac {128}{209}\) × 100 = 61.24%
Ans: i. Mass percentage of Pb, P and O in lead phosphate [Pb3(PO4)2] are 76.57%, 7.64% and 15.78% respectively.
ii. Mass percentage of K, Cr and O in potassium dichromate (K2Cr2O7) are 26.53%, 35.37% and 38.10% respectively.
iii. Mass percentage of Na, N, P, H and O in NaNH4HPO4.4H2O are 11.00%, 6.70%, 14.83%, 6.22% and 61.24% respectively.

Question F.
Find the percentage composition of constituent green vitriol crystals (FeSO4.7H2O). Also find out the mass of iron and the water of crystallisation in 4.54 kg of the crystals. (At. mass : Fe = 56; S = 32; O = 16)
Answer:
Given: i. Atomic mass: Fe = 56; S = 32; O = 16
ii. Mass of crystal = 4.54 kg
To find: i. Mass percentage of Fe, S, H and O
ii. Mass of iron and water of crystallisation in 4.54 kg of crystal
Formula:
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 3
i. Molar mass of FeSO4.7H2O = 1 × (56) + 1 × (32) + 14 × (1) + 11 × (16)
= 56 + 32 + 14+ 176
= 278 g mol-1
Percentage of Fe = \(\frac {56}{278}\) × 100 = 20.14%
Percentage of S = \(\frac {32}{278}\) × 100 = 11.51%
Percentage of H = \(\frac {14}{278}\) × 100 = 5.04%
Percentage of O = \(\frac {176}{278}\) × 100 = 63.31%

ii. 278 kg green vitriol = 56 kg iron
∴ 4.54 kg green vitriol = x
∴ x = \(\frac{56 \times 4.54}{278}\)
Mass of 7H2O in 278 kg green vitriol = 7 × 18 = 126 kg
∴ 4.54 kg green vitriol = y
∴ y = \(\frac{126 \times 4.54}{278}\)
Ans: i. Mass percentage of Fe, S, H and O in FeSO4.7H2O are 20.14%, 11.51%, 5.04% and 63.31% respectively.
ii. Mass of iron in 4.54 kg green vitriol = 0.915 kg
Mass of water of crystallisation in 4.54 kg green vitriol = 2.058 kg

Question G.
The red colour of blood is due to a compound called “haemoglobin”. It contains 0.335 % of iron. Four atoms of iron are present in one molecule of haemoglobin. What is its molecular weight ? (At. mass : Fe = 55.84)
Answer:
Given: Iron percentage in haemoglobin = 0.335%
To find: Molecular weight of haemoglobin
Calculation: There are four atoms of iron in a molecule of haemoglobin. Four atoms of iron contribute 0.335% mass to a molecule of haemoglobin.
Mass of one Fe atom = 55.84 u
∴ Mass of 4 Fe atoms = 55.84 × 4 = 223.36 u = 0.335%
Let molecular weight of haemoglobin be x.
Hence,
\(\frac{223.36}{x}\) × 100 = 0.335%
∴ x = \(\frac{223.36}{0.335}\) × 100 = 66674.6 g mol-1
Ans: Molecular weight of haemoglobin = 66674.6 g mol-1

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question H.
A substance, on analysis, gave the following percent composition:
Na = 43.4 %, C = 11.3 % and O = 45.3 %. Calculate the empirical formula. (At. mass Na = 23 u, C = 12 u, O = 16 u).
Answer:
Given: Atomic mass of Na = 23 u, C = 12 u, and O = 16 u
Percentage of Na, C and O = 43.4%, 11.3% and 45.3% respectively.
To find: The empirical formula of the compound
Calculation:
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 4
Hence, empirical formula is Na2CO3.
Ans: Empirical formula of the compound = Na2CO3

Question I.
Assuming the atomic weight of a metal M to be 56, find the empirical formula of its oxide containing 70.0% of M.
Answer:
Given: Atomic mass of M = 56
Percentage of M = 70.0%
To find: The empirical formula of the compound
Calculation: % M = 70.0%
Hence, % O = 30.0%, Atomic mass of O = 16 u
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 5
Convert the ratio into whole number by multiplying by the suitable coefficient, i.e., 2.
Therefore, the ratio of number of moles of M : O is 2 : 3.
Hence, the empirical formula is M2O3.
Ans: Empirical formula of the compound = M2O3

Question J.
1.00 g of a hydrated salt contains 0.2014 g of iron, 0.1153 g of sulfur, 0.2301 g of oxygen and 0.4532 g of water of crystallisation. Find the empirical formula. (At. wt. : Fe = 56; S = 32; O = 16)
Answer:
Given: Atomic mass of Fe = 56, S = 32, and O = 16
Mass of iron, sulphur, oxygen and water = 0.2014 g, 0.1153 g, 0.2301 g and 0.4532 respectively.
To find: The empirical formula of the compound
Calculation: Since the mass of crystal is 1 g, the % iron, sulphur, oxygen and water = 20.14%, 11.53%, 23.01% and 4.32 % respectively.
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 6
Hence, empirical formula is FeSO4.7H2O.
Ans: Empirical formula of the compound = FeSO4.7H2O.

Question K.
An organic compound containing oxygen, carbon, hydrogen and nitrogen contains 20 % carbon, 6.7 % hydrogen and 46.67 % nitrogen. Its molecular mass was found to be 60. Find the molecular formula of the compound.
Answer:
Given: Percentage of carbon, hydrogen, nitrogen = 20%, 6.7%, 46.67% respectively.
Molar mass of the compound = 60 g mol-1
To find: The molecular formula of the compound
Calculation: % carbon + % hydrogen + % nitrogen = 20 + 6.7 + 46.67 = 73.37%
This is less than 100%. Hence, compound contains adequate oxygen so that the total percentage of elements is 100%.
Hence, % of oxygen = 100 – 73.37 = 26.63%
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 7
Hence, empirical formula is CH4N2O.
Empirical formula mass = 12 + 4 + 28 + 16 = 60 g mol-1
Hence,
Molar mass = Empirical formula mass
∴ Molecular formula = Empirical formula = CH4N2O
Ans: Molecular formula of the compound = CH4N2O

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question L.
A compound on analysis gave the following percentage composition by mass : H = 9.09; O = 36.36; C = 54.55. Mol mass of compound is 88. Find its molecular formula.
Answer:
Given: Percentage of H, O, C = 9.09%, 36.36%, 54.55% respectively.
Molar mass of the compound = 88 g mol-1
To find: The molecular formula of the compound
Calculation:
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 8
Hence, empirical formula is C2H4O.
Empirical formula mass = 24 + 4 + 16 = 44 g mol-1
Hence,
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 9
Molecular formula = r × empirical formula
Molecular formula = 2 × C2H2O = C4H8O2
Ans: Molecular formula of the compound = C4H8O2

Question M.
Carbohydrates are compounds containing only carbon, hydrogen and oxygen. When heated in the absence of air, these compounds decompose to form carbon and water. If 310 g of a carbohydrate leave a residue of 124 g of carbon on heating in absence of air, what is the empirical formula of the carbohydrate ?
Answer:
Given: Mass of carbon residue = 124 g, mass of carbohydrate = 310 g
To find: Empirical formula of the carbohydrate
Calculation: Since the 310 g of compound decomposes to carbon and water and the mass of carbon produced is 124 g, the remaining mass would be of water.
∴ Molar mass of water = 310 – 124 = 186 g
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 10
The ratio of number of moles of C : water = C : H2O = 1 : 1
Hence, empirical formula = CH2O
Ans: Empirical formula of the carbohydrate = CH2O

Question N.
Write each of the following in exponential notation :
a. 3,672,199
b. 0.000098
c. 0.00461
d. 198.75
Answer:
a. 3,672,199 = 3.672199 × 106
b. 0.000098 = 9.8 × 10-5
c. 0.00461 = 4.61 × 10-3
d. 198.75 = 1.9875 × 102

Question O.
Write each of the following numbers in ordinary decimal form :
a. 3.49 × 10-11
b. 3.75 × 10-1
c. 5.16 × 104
d. 43.71 × 10-4
e. 0.011 × 10-3
f. 14.3 × 10-2
g. 0.00477 × 105
h. 5.00858585
Answer:
a. 3.49 × 10-11 = 0.0000000000349
b. 3.75 × 10-1 = 0.375
c. 5.16 × 104 = 51,600
d. 43.71 × 10-4 = 0.004371
e. 0.011 × 10-3 = 0.000011
f. 14.3 × 10-2 = 0.143
g. 0.00477 × 105 = 477
h. 5.00858585 = 5.00858585

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question P.
Perform each of the following calculations. Round off your answers to two digits.
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 11
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 12

Question Q.
Perform each of the following calculations. Round off your answers to three digits.
a. (3.26 × 104) (1.54 × 106)
b. (8.39 × 107) (4.53 × 109)
c. \(\frac{8.94 \times 10^{6}}{4.35 \times 10^{4}}\)
d. \(\frac{\left(9.28 \times 10^{9}\right) \times\left(9.9 \times 10^{-7}\right)}{(511) \times\left(2.98 \times 10^{-6}\right)}\)
Answer:
i. (3.26 × 104) (1.54 × 106) = 5.0204 × 104+6 = 5.02 × 1010
ii. (8.39 × 107) (4.53 × 109) = 38.0067 × 107+9 = 38.0067 × 1016 = 3.80 x 1017
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 13

Question R.
Perform the following operations :
a. 3.971 × 107 + 1.98 × 104;
b. 1.05 × 10-4 – 9.7 × 10-5;
c. 4.11 × 10-3 + 8.1 × 10-4;
d. 2.12 × 106 – 3.5 × 105.
Answer:
Solution:
To perform addition/subtraction operation, first the numbers are written in such a way that they have the same exponent. The coefficients are then added/subtracted.
a. 3.971 × 107 + 1.98 × 104 = 3.971 × 107 + 0.00198 × 107 = (3.971 + 0.00198) × 107
= 3.97298 × 107
b. 1.05 × 10-4 – 9.7 × 10-5 = 10.5 × 10-5 – 9.7 × 10-5 = (10.5 – 9.7) × 10-5 = 0.80 × 10-5
= 8.0× 10-6
c. 4.11 × 10-3 + 8.1 × 10-4 = 41.1 × 10-4 + 8.1 × 10-4 = (41.1 + 8.1) × 10-4 = 49.2 × 10-4
= 4.92 × 10-3
d. 2.12 × 106 – 3.5 × 105 = 21.2 × 105 – 3.5 × 105 = (21.2 – 3.5) × 105 = 17.7 × 105
= 1.77 × 106

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question S.
A 1.000 mL sample of acetone, a common solvent used as a paint remover, was placed in a small bottle whose mass was known to be 38.0015 g. The following values were obtained when the acetone – filled bottle was weighed : 38.7798 g, 38.7795 g and 38.7801 g. How would you characterise the precision and accuracy of these measurements if the actual mass of the acetone was 0.7791 g ?
Answer:
Precision:

MeasurementMass of acetone observed (g)
138.7798 – 38.0015 = 0.7783
238.7795 – 38.0015 = 0.7780
338.7801 – 38.0015 = 0.7786

Mean = \(\frac{0.7783+0.7780+0.7786}{3}\) = 0.7783 g

MeasurementMass of acetone observed (g)

Absolute deviation (g) =
| Observed value – Mean |

10.77830
20.77800.0003
30.77860.0003

Mean absolute deviation = \(\frac{0+0.0003+0.0003}{3}\) = 0.0002
∴ Mean absolute deviation = ±0.0002 g
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 14

ii. Accuracy:
Actual mass of acetone = 0.7791 g
Observed value (average) = 0.7783 g
a. Absolute error = Observed value – True value
= 0.7783 – 0.7791
= – 0.0008 g
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 15
Ans: These observed values are close to each other and are also close to the actual mass. Therefore, the results are precise and as well accurate.
i. Relative deviation = 0.0257%
ii. Relative error = 0.1027%
[Note: i. As per the method given in textbook, the calculated value of relative deviation is 0.0257%.
ii. The negative sign in -0.1027% indicates that the experimental result is lower than the true value.]

Question T.
Your laboratory partner was given the task of measuring the length of a box (approx 5 in) as accurately as possible, using a metre stick graduated in milimeters. He supplied you with the following measurements: 12.65 cm, 12.6 cm, 12.65 cm, 12.655 cm, 126.55 mm, 12 cm.
a. State which of the measurements you would accept, giving the reason.
b. Give your reason for rejecting each of the others.
Answer:
a. The metre stick is graduated in millimetres i.e. 1 mm to 1000 mm, and 1 mm = 0.1 cm. Therefore, if the length is measured in centimetres, the least count of metre stick is 0.1 cm. The results 12.6 cm has the least count of 0.1 cm and is an acceptable result.

b. Since, the least count of metre stick is 0.1 cm or 1mm, the results such as 12.65 cm, 12.655 cm, 126.55 mm cannot be measured using this stick, and hence, these results are rejected. The result, 12 cm doesn’t include the least count and is rejected.

Question U.
What weight of calcium oxide will be formed on heating 19.3 g of calcium carbonate?
(At. wt. : Ca = 40; C = 12; O = 16)
Answer:
Given: Mass of CaCO3 consumed in reaction = 19.3 g
To find: Mass of CaO formed
Calculation: Calcium carbonate decomposes according to the balanced equation,
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 16
So, 100 g of CaCO3 produce 56 g of CaO.
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 17
Ans: Mass of CaO formed = 10.81 g

[Calculation using log table:
56 × 0.193
= Antilog10 [log10 (56) + log10 (0.193)]
= Antilog10 [1.7482 + \(\overline{1} .2856\)]
= Antilog10 [1.0338] = 10.81]

Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry

Question V.
The hourly energy requirements of an astronaut can be satisfied by the energy released when 34 grams of sucrose are “burnt” in his body. How many grams of oxygen would be needed to be carried in a space capsule to meet his requirement for one day?
Answer:
34 g of sucrose provides energy for an hour.
Hence, for a day, the mass of sucrose needed = 34 × 24 = 816g
The balanced equation is,
Maharashtra Board Class 11 Chemistry Solutions Chapter 2 Introduction to Analytical Chemistry 18
Thus, 342 g of sucrose requires 384 g of oxygen.
∴ 816 g of sucrose will require = \(\frac{816}{342}\) × 384 = 916 g of O2
Ans: Astronaut needs to carry 916 g of O2.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Balbharti Maharashtra State Board 11th Chemistry Textbook Solutions Chapter 1 Some Basic Concepts of Chemistry Textbook Exercise Questions and Answers.

Maharashtra State Board 11th Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

1. Choose the most correct option.

Question A.
A sample of pure water, whatever the source always contains …………. by mass of oxygen and 11.1 % by mass of hydrogen.
a. 88.9
b. 18
c. 80
d. 16
Answer:
a. 88.9

Question B.
Which of the following compounds can NOT demonstrate the law of multiple proportions?
a. NO, NO2
b. CO, CO2
c. H2O, H2O2
d. Na2S, NaF
Answer:
d. Na2S, NaF

Question C.
Which of the following temperature will read the same value on celsius and Fahrenheit scales.
a. – 40°
b. + 40°
c. – 80°
d. – 20°
Answer:
a. – 40°

Question D.
SI unit of the quantity electric current is
a. Volt
b. Ampere
c. Candela
d. Newton
Answer:
b. Ampere

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question E.
In the reaction N2 + 3H2 → 2NH3, the ratio by volume of N2, H2 and NH3 is 1 : 3 : 2 This illustrates the law of
a. definite proportion
b. reciprocal proportion
c. multiple proportion
d. gaseous volumes
Answer:
d. gaseous volumes

Question F.
Which of the following has maximum number of molecules ?
a. 7 g N2
b. 2 g H2
c. 8 g O2
d. 20 g NO2
Answer:
b. 2 g H2

Question G.
How many g of H2O are present in 0.25 mol of it ?
a. 4.5
b. 18
c. 0.25
d. 5.4
Answer:
a. 4.5

Question H.
The number of molecules in 22.4 cm3 of nitrogen gas at STP is
a. 6.022 × 1020
b. 6.022 × 1023
c. 22.4 × 1020
d. 22.4 × 1023
Answer:
a. 6.022 × 1020

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question I.
Which of the following has the largest number of atoms ?
a. 1g Au(s)
b. 1g Na(s)
c. 1g Li(s)
d. 1g Cl2(g)
Answer:
c. 1g Li(s)

2. Answer the following questions.

Question A.
State and explain Avogadro’s law.
Answer:
i. In the year 1811, Avogadro made a distinction between atoms and molecules and thereby proposed Avogadro’s law.

ii. Avogadro proposed that, “Equal volumes of all gases at the same temperature and pressure contain equal number of molecules”.
e.g. Hydrogen gas combines with oxygen gas to produce water vapour as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 1
According to Avogadro’s law, if 1 volume contains n molecules, then 2n molecules of hydrogen combine with n molecules of oxygen to give 2n molecules of water, i.e., 2 molecules of hydrogen gas combine with 1 molecule of oxygen to give 2 molecules of water vapour as represented below:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 2

Question B.
Point out the difference between 12 g of carbon and 12 u of carbon.
Answer:
12 g of carbon is the molar mass of carbon while 12 u of carbon is the mass of one carbon atom.

Question C.
How many grams does an atom of hydrogen weigh ?
Answer:
The mass of a hydrogen atom is 1.6736 × 10-24 g.

Question D.
Calculate the molecular mass of the following in u.
a. NH3
b. CH3COOH
c. C2H5OH
Answer:
i. Molecular mass of NH3 = (1 × Average atomic mass of N) + (3 × Average atomic mass of H)
= (1 × 14.0 u) +(3 × 1.0 u)
= 17 u

ii. Molecular mass of CH3COOH = (2 × Average atomic mass of C) + (4 × Average atomic mass of H) + (2 × Average atomic mass of O)
= (2 × 12.0 u) + (4 × 1.0 u) + (2 × 16.0 u)
= 60 u

iii. Molecular mass of C2H5OH = (2 × Average atomic mass of C) + (6 × Average atomic mass of H) + (1 × Average atomic mass of O)
= (2 × 12.0 u) + (6 × 1.0 u) + (1 × 16.0 u)
= 46 u
Ans: i. The molecular mass of NH3 = 17 u
ii. The molecular mass of CH3COOH = 60 u
iii. The molecular mass of C2H5OH = 46 u

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question E.
How many particles are present in 1 mole of a substance ?
Answer:
The number of particles in one mole is 6.0221367 × 1023.

Question F.
What is the SI unit of amount of a substance ?
Answer:
The SI unit for the amount of a substance is mole (mol).

Question G.
What is meant by molar volume of a gas ?
Answer:
The volume occupied by one mole of a gas at standard temperature (0 °C) and pressure (1 atm) (STP) is called as molar volume of a gas. The molar volume of a gas at STP is 22.4 dm3.

Question H.
State and explain the law of conservation of mass.
Answer:
Law of conservation of mass:

  • The law of conservation of mass states that, “Mass can neither be created nor destroyed” during chemical combination of matter.
  • Antoine Lavoisier who is often referred to as the father of modem chemistry performed careful experimental studies for various combustion reactions, namely burning of phosphorus and mercury in the presence of air.
  • Both his experiments resulted in increased weight of products.
  • After several experiments, in burning of phosphorus, he found that the weight gained by the phosphoms was exactly the same as the weight lost by the air. Hence, total mass of reactants = total mass of products.
  • When hydrogen gas bums and combines with oxygen to form water, the mass of the water formed is equal to the mass of the hydrogen and oxygen consumed. Thus, this is in accordance with the law of conservation of mass.

Question I.
State the law of multiple proportions.
Answer:
The law states that, “When two elements A and B form more than one compounds, the masses of element B that combine with a given mass of A are always in the ratio of small whole numbers”.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

3. Give one example of each

Question A.
Homogeneous mixture
Answer:
Homogeneous mixture: Solution (An aqueous solution of sugar)

Question B.
Heterogeneous mixture
Answer:
Heterogeneous mixture: Suspension (of sand in water)

Question C.
Element
Answer:
Element: Gold

Question D.
Compound
Answer:
Compound: Distilled water.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

4. Solve problems :

Question A.
What is the ratio of molecules in 1 mole of NH3 and 1 mole of HNO3.
Answer:
One mole of any substance contains particles equal to 6.022 × 1023.
1 mole of NH3 = 6.022 × 1023 molecules of NH3
I mole of HNO3 = 6.022 × 1023 molecules of HNO3
∴ Ratio = \(\frac{6.022 \times 10^{23}}{6.022 \times 10^{23}}\) = 1 : 1
Ans: The ratio of molecules is = 1 : 1.

Question B.
Calculate number of moles of hydrogen in 0.448 litre of hydrogen gas at STP.
Answer:
Given: Volume of hydrogen at STP = 0.448 L
To find: Number of moles of hydrogen
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 3
Molar volume of a gas = 22.4 dm3 mol-1 = 22.4 L at STP
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 4
Ans: Number of moles of hydrogen = 0.02 mol

Question C.
The mass of an atom of hydrogen is 1.008 u. What is the mass of 18 atoms of hydrogen.
Answer:
Mass of 1 atom of hydrogen = 1.008 u
∴ Mass of 18 atoms of hydrogen = 18 × 1.008 u = 18.144 u
Ans: The mass of 18 atoms of hydrogen = 18.144 u

Question D.
Calculate the number of atom in each of the following (Given : Atomic mass of I = 127 u).
a. 254 u of iodine (I)
b. 254 g of iodine (I)
Answer:
a. 254 u of iodine (I) = x atoms
Atomic mass of iodine (I) = 127 u
∴ Mass of one iodine atom = 127 u
∴ x = \(\frac{254 \mathrm{u}}{127 \mathrm{u}}\) = 2 atoms

b. 254 g of iodine (I)
Atomic mass of iodine = 127 u
∴ Molar mass of iodine = 127 g mol-1
Now,
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 5
Now,
Number of atoms = Number of moles × Avogadro’s constant
= 2 mol × 6.022 × 1023 atoms/mol
= 12.044 × 1023 atoms
= 1.2044 × 1024 atoms
Ans. i.Number of iodine atoms in 254 u = 2 atoms
ii. Number of iodine atoms in 254 g = 1.2044 × 1024 atoms

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question E.
A student used a carbon pencil to write his homework. The mass of this was found to be 5 mg. With the help of this calculate.
a. The number of moles of carbon in his homework writing.
b. The number of carbon atoms in 12 mg of his homework writting.
Answer:
a. 5 mg carbon = 5 × 10-3 g carbon
Atomic mass of carbon = 12 u
∴ Molar mass of carbon 12 g mol-1
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 6

b. 12 mg carbon = 12 × 10-3 g carbon
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 7
Number of atoms = Number of moles × Avogadro’s constant
Number of atoms of carbon = 1 × 10-3 mol × 6.022 × 1023 atoms/mol
= 6.022 × 1020 atoms
Ans: Number of moles of carbon in his homework writing = 4.167 × 10-4 mol
Number of atoms of carbon in 12 mg homework writing = 6.022 × 1020 atoms

Question F.
Arjun purchased 250 g of glucose (C6H12O6) for Rs 40. Find the cost of glucose per mole.
Answer:
Given: Mass of urea = 250 g, cost for 250 g glucose = Rs 40, molecular formula of glucose = C6H12O6
To find: Cost per mole of glucose
Calculation: Molecular formula of glucose is (C6H12O6).
Molecular mass of glucose
= (6 × Average atomic mass of C) + (12 × Average atomic mass of H) + (6 × Average atomic mass of O)
= (6 × 12 u) + (12 × 1 u) + (6 × 16 u)
=180 u
∴ Molar mass of glucose = 180 g mol-1
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 8
Now,
\(\frac {250}{180}\) mol of glucose cost = Rs 40
1 mol glucose cost = x
∴ x = \(\frac{40 \times 180}{250}\) = Rs 28.8/mol of glucose
Ans. The cost of glucose per mole is Rs 28.8.

[ Calculation using log table:
\(\frac{40 \times 180}{250}\)
= Antilog10 [log10(40) + log10(180) + log10(250)]
= Antilog10 [1.6021 + 2.2553 – 2.3979]
= Antilog10 [1.4595] = 28.80 ]

Question G.
The natural isotopic abundance of 10B is 19.60% and 11B is 80.40 %. The exact isotopic masses are 10.13 and 11.009 respectively. Calculate the average atomic mass of boron.
Answer:
Average atomic mass of Boron(B)
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 9
Ans. Average atomic mass of boron = 10.84 u

Question H.
Convert the following degree Celsius temperature to degree Fahrenheit.
a. 40 °C
b. 30 °C
Answer:
a. Given: Temperature in degree Celsius =40°C
To find: Temperature in degree Fahrenheit
Formula: °F = \(\frac {9}{5}\) (°C) + 32
Calculation: Substituting 40 °C in the formula,
°F = \(\frac {9}{5}\) (°C)+32
= \(\frac {9}{5}\) (40) + 32
= 72 + 32
= 104 °F

b. Given: Temperature in degree Celsius = 30 °C
To find: Temperature in degree Fahrenheit
Formula: °F = \(\frac {9}{5}\) (°C) + 32
Calculation: Substituting 30 °C in the formula,
°F = \(\frac {9}{5}\)(°C) + 32
= \(\frac {9}{5}\)(30) + 32
= 54 + 32
= 86 °F
Ans: i. The temperature 40 °C corresponds to 104 °F.
ii. The temperature 30 °C corresponds to 86 °F.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question I.
Calculate the number of moles and molecules of acetic acid present in 22 g of it.
Answer:
Given: Mass of acetic acid = 22 g
To find: The number of moles and molecules of acetic acid
Formulae: Number of moles = \(\frac{\text { Mass of a substance }}{\text { Molar mass of a substance }}\)
ii. Number of molecules = Number of moles × Avogadro’s constant
Calculator: Mass of acetic acid = 22 g
Molecular mass of acetic acid, CH3COOH
= (2 × Average atomic mass of C) + (4 × Average atomic mass of H) + (2 × Average atomic mass of O)
= (2 × 12 u) + (4 × 1 u) + (2 × 16 u) = 60 u
∴ Molar mass of acetic acid = 60 g mol-1
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 10
Now,
Number of molecules of acetic acid = Number of moles × Avogadro’s constant
= 0.367 mol × 6.022 × 1023 molecules/mol
= 2.210 × 1023 molecules
Ans: Number of moles = 0.367 mol
Number of molecules of acetic acid = 2.210 × 1023 molecules

Question J.
24 g of carbon reacts with some oxygen to make 88 grams of carbon dioxide. Find out how much oxygen must have been used.
Answer:
Given: Mass of carbon (reactant) = 24 g, mass of carbon dioxide (product) = 88 g
To find: Mass of oxygen (reactant)
Calculation: 12 g of carbon combine with 32 g oxygen to form 44 g of carbon dioxide as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 11
Hence, (2 × 12 = 24 g) of carbon will combine with (2 × 32 = 64 g) of oxygen to give (2 × 44 = 88 g) carbon dioxide.
Ans: Mass of oxygen used = 64 g

Question K.
Calculate number of atoms is each of the following. (Average atomic mass : N = 14 u, S = 32 u)
a. 0.4 mole of nitrogen
b. 1.6 g of sulfur
Answer:
a. 0.4 mole of nitrogen (N)
Number of atoms of N = Number of moles × Avogadro’s constant
= 0.4 mol × 6.022 × 1023 atoms/mol
= 2.4088 × 1023 atoms of N

b. 1.6 g of Sulphur (S)
Molar mass of sulphur = 32 g mol-1
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 12
Number of atoms of S = Number of moles × Avogadro’s constant
= 0.05 mol × 6.022 × 1023 atoms/mol
= 0.3011 × 1023 atoms
= 3.011 × 1022 atoms of S
Ans: a. Number of nitrogen atoms in 0.4 mole = 2.4088 × 1023 atoms of N
b. Number of sulphur atoms in 1.6 g = 3.011 × 1022 atoms of S

Question L.
2.0 g of a metal burnt in oxygen gave 3.2 g of its oxide. 1.42 g of the same metal heated in steam gave 2.27 of its oxide. Which law is verified by these data ?
Answer:
Here, metal oxide is obtained by two different methods; reactions of metal with oxygen and reaction of metal with water vapour (steam).
In first reaction (reaction with oxygen),
The mass of oxygen in metal oxide = 3.2 – 2.0 = 1.2 g
% of oxygen = \(\frac{1.2}{3.2}\) × 100 = 37.5%
% of metal = \(\frac{2.0}{3.2}\) × 100 = 62.5%
In second reaction (reaction with steam),
The mass of oxygen in metal oxide = 2.27 – 1.42 = 0.85 g
% of oxygen = \(\frac{0.85}{2.27}\) × 100 = 37.44 ≈ 37.5%
% of metal = \(\frac{1.42}{2.27}\) × 100 = 62.56 ≈ 62.5%
Therefore, irrespective of the source, the given compound contains same elements in the same proportion. The law of definite proportions states that “A given compound always contains exactly the same proportion of elements by weight”. Hence, the law of definite proportions is verified by these data.
Ans: The law of definite proportions is verified by given data.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question M.
In two moles of acetaldehyde (CH3CHO) calculate the following
a. Number of moles of carbon
b. Number of moles of hydrogen
c. Number of moles of oxygen
d. Number of molecules of acetaldehyde
Answer:
Molecular formula of acetaldehyde: C2H4O
Moles of acetaldehyde = 2 mol
a. Number of moles of carbon atoms = Moles of acetaldehyde × Number of carbon atoms
= 2 × 2
= 4 moles of carbon atoms

b. Number of moles of hydrogen atoms = Moles of acetaldehyde × Number of hydrogen atoms
= 2 × 4
= 8 moles of hydrogen atoms

c. Number of moles of oxygen atoms = Moles of acetaldehyde × Number of oxygen atoms
= 2 × 1
= 2 moles of oxygen atoms

d. Number of molecules of acetaldehyde = Moles of acetaldehyde × Avogadro number
= 2 mol × 6.022 × 1023 molecules/mol
= 12.044 × 1023 molecules of acetaldehyde
Ans: i. Number of moles of carbon, hydrogen and oxygen are 4, 8, 2 respectively,
ii. Number of molecules of acetaldehyde = 12.044 × 1023

Question N.
Calculate the number of moles of magnesium oxide, MgO in
i. 80 g and
ii. 10 g of the compound.
(Average atomic masses of Mg = 24 and O = 16)
Answer:
Given: i. Mass of MgO = 80 g
ii. Mass of MgO = 10 g
To find: Number of moles of MgO
Formulae: Number of moles (n) = \(\frac{\text { Mass of a substance }}{\text { Molar mass of a substance }}\)
Calculation: i. Molecular mass of MgO = (1 × Average atomic mass of Mg) + (1 × Average atomic mass of O)
= (1 × 24u) + (1 × 16 u)
= 40 u
∴ Molar mass of MgO = 40 g mol-1
Mass of MgO = 80 g
Number of moles (n) = \(\frac{\text { Mass of a substance }}{\text { Molar mass of a substance }}\)
= \(\frac{80 \mathrm{~g}}{40 \mathrm{~g} \mathrm{~mol}^{-1}}\)
= 2 mol

ii. Mass of MgO = 10 g, Molar mass of MgO = 40 g mol-1
Number of moles (n) = \(\frac{\text { Mass of a substance }}{\text { Molar mass of a substance }}\)
= \(\frac{10 \mathrm{~g}}{40 \mathrm{~g} \mathrm{~mol}^{-1}}\)
= 0.25 mol
Ans: i. The number of moles in 80 g of magnesium oxide, MgO = 2 mol
ii. The number of moles in 10 g of magnesium oxide, MgO = 0.25 mol

Question O.
What is volume of carbon dioxide, CO2 occupying by i. 5 moles and ii. 0.5 mole of CO2 gas measured at STP.
Answer:
Given: i. Number of moles of CO2 = 5 mol
ii. Number of moles of CO2 = 0.5 mol
To find: Volume at STP
Formula: Number of moies of a gas (n) = \(\frac{\text { Volume of a gas at STP }}{\text { Molar volume of a gas }}\)
Calculation: Molar volume of a gas 22.4 dm3 mol-1 at STP.
Number of moles of a gas (n) = \(\frac{\text { Volume of a gas at STP }}{\text { Molar volume of a gas }}\)
∴ i. Volume of the gas at STP = Number of moles of a gas (n) × Molar volume of a gas
= 5mol × 22.4 dm3 mol-1 = 112 dm3
ii. Volume of the gas at STP Number of moles of a gas (n) × Molar volume of a gas
= 0.5 mol × 22.4 dm3 mol-1 = 11.2 dm3
Ans: i. Volume of 5 mol of CO2 = 112 dm3
ii. Volume of 0.5 mol of CO2 = 11.2 dm3

Question P.
Calculate the mass of potassium chlorate required to liberate 6.72 dm3 of oxygen at STP. Molar mass of KClO3 is 122.5 g mol-1.
Answer:
The molecular formula of potassium chlorate is KClO3.
Required chemical equation:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 13
2 moles of KClO3 = 2 × 122.5 = 245 g
3 moles of O2 at STP occupy = (3 × 22.4 dm3) = 67.2 dm3
Thus, 245 g of potassium chlorate will liberate 67.2 dm3 of oxygen gas.
Let ‘x’ gram of KClO3 liberate 6.72 dm3 of oxygen gas at S.T.P.
∴ x = \(\frac{245 \times 6.72}{67.2}\) = 24.5 g
Ans: Mass of potassium chlorate required = 24.5 g

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question Q.
Calculate the number of atoms of hydrogen present in 5.6 g of urea, (NH2)2CO. Also calculate the number of atoms of N, C and O.
Answer:
Given: Mass of urea = 5.6 g
To find: The number of atoms of hydrogen, nitrogen, carbon and oxygen
Calculation: Molecular formula of urea: (NH2)2CO
Molar mass of urea = 60 g mol-1
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 14
∴ Moles of urea = 0.0933 mol
Number of atoms = Number of moles × Avogadro’s constant
Now, 1 molecule of urea has total 8 atoms, out of which 4 atoms are of H, 2 atoms are of N, 1 of C and 1 of O.
∴ Number of H atoms in 5.6 g of urea = (4 × 0.0933) mol × 6.022 × 1023 atoms/mol
= 2.247 × 1023 atoms of hydrogen
∴ Number of N atoms in 5.6 g of urea = (2 × 0.0933) mol × 6.022 × 1023 atoms/mol
= 1.124 × 1023 atoms of nitrogen
∴ Number of C atoms in 5.6 g of urea = (1 × 0.0933) mol × 6.022 × 1023 atoms/mol
= 0.562 × 1023 atoms of carbon
∴ Number of O atoms in 5.6 g of urea = (1 × 0.0933) mol × 6.022 × 1023 atoms/mol
= 0.562 × 1023 atoms of oxygen
Ans: 5.6 g of urea contain 2.247 × 1023 atoms of H, 1.124 × 1023 atoms of N, 0.562 × 1023 atoms of C and 0.562 × 1023 atoms of O.

Question R.
Calculate the mass of sulfur dioxide produced by burning 16 g of sulfur in excess of oxygen in contact process. (Average atomic mass : S = 32 u, O = 16 u)
Answer:
Given: Mass of sulphur (reactant) = 16 g
To find: Mass of sulphur dioxide (product)
Calculation: 32 g of sulphur combine with 32 g oxygen to form 64 g of sulphur dioxide as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 15
Hence, (0.5 × 32 = 16 g) of sulphur will combine with (0.5 × 32 = 16 g) of oxygen to give (0.5 × 64 = 32 g) sulphur dioxide.
Ans: Mass of sulphur dioxide produced = 32 g

5. Explain

Question A.
The need of the term average atomic mass.
Answer:

  • Several naturally occurring elements exist as a mixture of two or more isotopes.
  • Isotopes have different atomic masses.
  • The atomic mass of such an element is the average of atomic masses of its isotopes.
  • For this purpose, the atomic masses of isotopes and their relative percentage abundances are considered.

Hence, the term average atomic mass is needed to express atomic mass of elements containing mixture of two or more isotopes.

Question B.
Molar mass.
Answer:
i. The mass of one mole of a substance (element/compound) in grams is called its molar mass.
ii. The molar mass of any element in grams is numerically equal to atomic mass of that element in u.
e.g.

ElementAtomic mass (u)Molar mass (g mol-1)
H1.01 0
C12.012.0
O16.016.0

iii. Similarly, molar mass of polyatomic molecule, in grams is numerically equal to its molecular mass or formula mass in u.
e.g.

Polyatomic substanceMolecular/formula mass (u)Molar mass (g mol-1)
O232.032.0
H2O18.018.0
NaCl58.558.5

Question C.
Mole concept.
Answer:

  • Even a small amount of any substance contains very large number of atoms or molecules. Therefore, a quantitative adjective ‘mole’ is used to express the large number of sub-microscopic entities like atoms, molecules, ions, electrons, etc. present in a substance.
  • Thus, one mole is the amount of a substance that contains as many entities or particles as there are atoms in exactly 12 g (or 0.012 kg) of the carbon -12 isotope.
  • One mole is the amount of substance which contains 6.0221367 × 1023 particles/entities.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Question D.
Formula mass with an example.
Answer:

  • The formula mass of a substance is the sum of atomic masses of the atoms present in the formula.
  • In substances such as sodium chloride, positive (sodium), and negative (chloride) entities are arranged in a three-dimensional structure in a way that one sodium (Na+) ion is surrounded by six chlorides (Cl) ions, all at the same distance from it and vice versa. Thus, sodium chloride does not contain discrete molecules as the constituent units.
  • Therefore, NaCl is just the formula that is used to represent sodium chloride though it is not a molecule.
  • In such compounds, the formula (i.e., NaCl) is used to calculate the formula mass instead of molecular mass.

e.g. Formula mass of sodium chloride = atomic mass of sodium + atomic mass of chlorine
= 23.0 u + 35.5 u = 58.5 u

Question E.
Molar volume of gas.
Answer:
i. It is more convenient to measure the volume rather than mass of the gas.
ii. It is found from Avogadro law that one mole of any gas occupies a volume of 22.4 dm3 at standard temperature (0 °C) and pressure (1 atm) (STP).
iii. The volume of 22.4 dm3 at STP is known as molar volume of a gas.
iv. The relationship between number of moles and molar volume can be expressed as follows:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 16
[Note: IUPAC has recently changed the standard pressure to 1 bar. Under these new STP conditions the molar volume of a gas is 22.71 L mol-1]

Question F.
Types of matter (on the basis of chemical composition).
Answer:
Matter on the basis of chemical composition can be classified as follows:
i. Pure substances: They always have a definite chemical composition. They always have the same properties regardless of their origin.
e.g. Pure metal, distilled water, etc.

They are of two types:
a. Elements: They are pure substances, which cannot be broken down into simpler substances by ordinary chemical changes.
Elements are further classified into three types:
1. Metals:

  • They have a lustre (a shiny appearance).
  • They conduct heat and electricity.
  • They can be drawn into wire (ductile).
  • They can be hammered into thin sheets (malleable).
  • e.g. Gold, silver, copper, iron. Mercury is a liquid metal at room temperature.

2. Nonmetals:

  • They have no lustre, (except diamond, iodine)
  • They are poor conductors of heat and electricity, (except graphite)
  • They cannot be hammered into sheets or drawn into wire, because they are brittle. e.g. Iodine

3. Metalloids: Some elements have properties that are intermediate between metals and nonmetals and are called metalloids or semimetals.
e.g. Arsenic, silicon and germanium.
b. Compounds: They are the pure substances which are made up of two or more elements in fixed proportion.
e.g. Water, ammonia, methane, etc.

ii. Mixtures: They have no definite chemical composition and hence no definite properties. They can be separated by physical methods.
e.g. Paint (mixture of oils, pigment, additive), concrete (a mixture of sand, cement, water), etc.

Mixtures are of two types:

  • Homogeneous mixture: In homogeneous mixture, constituents remain uniformly mixed throughout its bulk.
    e.g. Solution, in which solute and solvent molecules are uniformly mixed throughout its bulk.
  • Heterogeneous mixture: In heterogeneous mixture, constituents are not uniformly mixed throughout its bulk.
    e.g. Suspension, which contains insoluble solid in a liquid.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

11th Chemistry Digest Chapter 1 Some Basic Concepts of Chemistry Intext Questions and Answers

Can you tell? (Textbook Page No. 1)

Question 1.
Which are mixtures and pure substances from the following?
i. Sea water
ii. Gasoline
iii. Skin
iv. A rusty nail
v. A page of textbook
vi. Diamond
Answer:

No.MaterialPure substance or mixture
i.SeawaterMixture
ii.GasolineMixture
iii.SkinMixture
iv.A rusty nailMixture
V.A page of textbookMixture
vi.DiamondPure substance

Can you tell? (Textbook Page No. 2)

Question 1.
Classify the following as element and compound.
i. Mercuric oxide
ii. Helium gas
iii. Water
iv. Table salt
v. Iodine
vi. Mercury
vii. Oxygen
viii. Nitrogen
Answer:

No.MaterialElement or compound
i.Mercuric oxideCompound
ii.Helium gasElement
iii.WaterCompound
iv.Table saltCompound
V.IodineElement
vi.MercuryElement
vii.OxygenElement
viii.NitrogenElement

Can you tell? (Textbook Page No. 6)

Question 1.
If 10 volumes of dihydrogen gas react with 5 volumes of dioxygen gas, how many volumes of water vapour would be produced?
Answer:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 17
If 10 volumes of dihydrogen gas react with 5 volumes of dioxygen gas, then 10 volumes of water vapour would be produced.

Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry

Can you recall? (Textbook Page No. 6)

Question 1.
What is an atom and molecule? What is the order of magnitude of mass of one atom? What are isotopes?
Answer:

  • The smallest indivisible particle of an element is called an atom.
  • A molecule is an aggregate of two or more atoms of definite composition which are held together by chemical bonds.
  • Every atom of an element has definite mass. The order of magnitude of mass of one atom is 10-27 kg.
  • Isotopes are the atoms of the same element having same atomic number but different mass number.

Try this (Textbook Page No. 8)

Question 1.
Find the formula mass of CaSO4, if atomic mass of Ca = 40.1 u, S =32.1 u and O = 16.0 u.
Solution:
Formula mass of CaSO4
= Average atomic mass of Ca + Average atomic mass of S + Average atomic mass of four O
= (40.1) + 32.1 + (4 × 16.0) = 136.2 u
Ans: Formula mass of CaSO4 = 136.2 u

Can you recall? (Textbook Page No. 8)

Question 1.
i. One dozen means how many items?
ii. One gross means how many items?
Answer:
i. One dozen means 12 items.
ii. One gross means 144 items.

Try this (Textbook Page No. 10)

Question 1.
Calculate the volume in dm3 occupied by 60.0 g of ethane at STP.
Solution:
Given: Mass of ethane at STP = 60.0 g
To find: Volume of ethane
Formulae:
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 18
Calculation: Molar volume of a gas = 22.4 dm3 mol-1 at STP
Molecular mass of ethane = 30 g mol-1
Maharashtra Board Class 11 Chemistry Solutions Chapter 1 Some Basic Concepts of Chemistry 19
∴ Volume of the gas at STP = Number of moles of a gas (n) × Molar volume of a gas
= 2 mol × 22.4 dm3 mol-1 = 44.8 dm3
Ans: Volume of ethane = 44.8 dm3

Activity :

Activity 1.
Collect information from various scientists and prepare charts of their contributions to chemistry.
Answer:

ScientistsContributions
Joseph Louis Gay-Lussac (1778 – 1850) (French chemist and physicist)i.Formulated the gas law.
ii.Collected samples of air at different heights and recorded temperatures and moisture contents.
iii.Discovered that the composition of the atmosphere does not change with increasing altitude.
Amedeo Avogadro (1776 – 1856) (Italian scholar)i.Published article in French journal on determining the relative masses of elementary particles of bodies and proportions by which they enter combinations.
ii.Published a research paper titled “New considerations on the theory of proportions and on the determination of the masses of atoms.”

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Balbharti Maharashtra State Board 11th Physics Important Questions Chapter 14 Semiconductors Important Questions and Answers.

Maharashtra State Board 11th Physics Important Questions Chapter 14 Semiconductors

Question 1.
What are the factors on which the electrical conductivity of any solid depends?
Answer:
Electrical conduction in a solid depends on its temperature, the number of charge carriers, how easily these carries can move inside a solid (mobility), its crystal structure, types, and the nature of defects present in a solid.

Question 2.
Why are metals good conductors of electricity?
Answer:
Metals are good conductors of electricity due to a large number of free electrons (≈ 1028 per m³) present in them.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 3.
Give the formula for the electrical conductivity of a solid and give the significance of the terms involved.
Answer:
The electrical conductivity (σ) of a solid is given by a = nqµ,
where n = charge carrier density (number of charge carriers per unit volume)
q = charge on the carriers
µ = mobility of carriers

Question 4.
Explain in brief temperature dependence of electrical conductivity of metals and semiconductors with the help of graph.
Answer:
i. The electrical conductivity of a metal decreases with increase in its temperature.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 1

ii. When the temperature of a semiconductor is increased, its electrical conductivity also increases
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 2

Question 5.
Mention the broad classification of semiconductors along with examples.
Answer:
A broad classification of semiconductors can be:

  1. Elemental semiconductors: Silicon, germanium
  2. Compound Semiconductors: Cadmium sulphide, zinc sulphide, etc.
  3. Organic Semiconductors: Anthracene, doped pthalocyanines, polyaniline etc.

Question 6.
What are some electrical properties of semiconductors?
Answer:

  1. Electrical properties of semiconductors are different from metals and insulators due to their unique conduction mechanism.
  2. The electronic configuration of the elemental semiconductors plays a very important role in their electrical properties.
  3. They are from the fourth group of elements in the periodic table.
  4. They have a valence of four.
  5. Their atoms are bonded by covalent bonds. At absolute zero temperature, all the covalent bonds are completely satisfied in a single crystal of pure semiconductor like silicon or germanium.

Question 7.
Explain in detail the distribution of electron energy levels in an isolated atom with the help of an example.
Answer:

  1. An isolated atom has its nucleus at the centre which is surrounded by a number of revolving electrons. These electrons are arranged in different and discrete energy levels.
  2. Consider the electronic configuration of sodium (atomic number 11) i.e, 1s², 2s², 2p6, 3s1. The outermost level 3s can take one more electron but it is half filled in sodium,
  3. The energy levels in each atom are filled according to Pauli’s exclusion principle which states that no two similar spin electrons can occupy the same energy level.
  4. That means any energy level can accommodate only two electrons (one with spin up state and the other with spin down state)
  5. Thus, there can be two states per energy level.
  6. Figure given below shows the allowed energy levels of a sodium atom by horizontal lines. The curved lines represent the potential energy of an electron near the nucleus due to Coulomb interaction.
    Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 3

Question 8.
Explain formation of energy bands in solid sodium with neat labelled energy band diagrams.
Answer:
i. For an isolated sodium atom (atomic number 11) the electronic configuration is given as 1s², 2s², 2p6, 3s1. The outermost level 3s is half filled in sodium.

ii. The energy levels are filled according to Pauli’s exclusion principle.

iii. Consider two sodium atoms close enough so that outer 3s electrons can be considered equally to be part of any atom.

iv. The 3s electrons from both the sodium atoms need to be accommodated in the same level.

v. This is made possible by splitting the 3 s level into two sub-levels so that the Pauli’s exclusion principle is not violated. Figure given below shows the splitting of the 3 s level into two sub levels.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 4

vi. When solid sodium is formed, the atoms come close to each other such that distance between them remains of the order of 2 – 3 Å. Therefore, the electrons from different atoms interact with each other and also with the neighbouring atomic cores.

vii. The interaction between the outer most electrons is more due to overlap while the inner most electrons remain mostly unaffected. Each of these energy levels is split into a large number of sub levels, of the order of Avogadro’s number due to number of atoms in solid sodium is of the order of this number.

viii. The separation between the sublevels is so small that the energy levels appear almost continuous. This continuum of energy levels is called an energy band. The bands are called 1 s band, 2s band, 2p band and so on. Figure shows these bands in sodium metal.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 5

Question 9.
Explain concept of valence band and conduction band in solid crystal.
Answer:
A. Valence band (V.B):

  1. The topmost occupied energy level in an atom is the valence level. The energy band formed by valence energy levels of atoms in a solid is called the valence band.
  2. In metallic conductors, the valence electrons are loosely attached to the nucleus. At ordinary room temperature, some valence electrons become free. They do not leave the metal surface but can move from atom to atom randomly.
  3. Such free electrons are responsible for electric current through conductors.

B. Conduction band (C.B):

  1. The immediately next energy level that electrons from valence band can occupy is called conduction level. The band formed by conduction levels is called conduction band.
  2. It is the next permitted energy band beyond valence band.
  3. In conduction band, electrons move freely and conduct electric current through the solids.
  4. An insulator has empty conduction band.

Question 10.
Draw neat labelled diagram showing energy bands in sodium. Why broadening of higher bands is different than that of the lower energy bands?
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 6
Broadening of valence and higher bands is more since interaction of these electrons is stronger than the inner most electrons.

Question 11.
State the conditions when electrons of a semiconductor can take part in conduction.
Answer:

  1. All the energy levels in a band, including the topmost band, in a semiconductor are completely occupied at absolute zero.
  2. At some finite temperature T, few electrons gain thermal energy of the order of kT, where k is the Boltzmann constant.
  3. Electrons in the bands between the valence band cannot move to higher band since these are already occupied.
  4. Only electrons from the valence band can be excited to the empty conduction band, if the thermal energy gained by these electrons is greater than the band gap.
  5. Electrons can also gain energy when an external electric field is applied to a solid. Energy gained due to electric field is smaller, hence only electrons at the topmost energy level gain such energy and participate in electrical conduction.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 12.
Define 1 eV.
Answer:
1 eV is the energy gained by an electron while it overcomes a potential difference of one volt. 1 eV= 1.6 × 10-19 J.

Question 13.
C, Si and Ge have same lattice structure. Why is C insulator while Si and Ge intrinsic semiconductors?
Answer:

  1. The 4 valence electrons of C, Si or Ge lie respectively in the second, third and fourth orbit.
  2. Energy required to take out an electron from these atoms (i.e., ionisation energy Eg) will be least for Ge, followed by Si and highest for C.
  3. Hence, number of free electrons for conduction in Ge and Si are significant but negligibly small for

Question 14.
What is intrinsic semiconductor?
Answer:
A pure semiconductor is blown as intrinsic semiconductor.

Question 15.
Explain characteristics and structure of silicon using a neat labelled diagram.
Answer:

  1. Silicon (Si) has atomic number 14 and its electronic configuration is 1s² 2s² 2p6 3s² 3p².
  2. Its valence is 4.
  3. Each atom of Si forms four covalent bonds with its neighbouring atoms. One Si atom is surrounded by four Si atoms at the comers of a regular tetrahedron as shown in the figure.
    Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 7

Question 16.
Describe in detail formation of holes in ii. intrinsic semiconductor.
Answer:
i. In intrinsic semiconductor at absolute zero temperature, all valence electrons are tightly bound to respective atoms and the covalent bonds are complete.

ii. Electrons are not available to conduct electricity through the crystal because they cannot gain enough energy to get into higher energy levels.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 8

iii. At room temperature, however, a few covalent bonds are broken due to heat energy produced by random motion of atoms. Some of the valence electrons can be moved to the conduction band. This creates a vacancy in the valence band as shown in figure.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 9

iv. These vacancies of electrons in the valence band are called holes. The holes are thus absence of electrons in the valence band and they carry an effective positive charge.

Question 17.
How does electric conduction take place inside a pure silicon?
Answer:

  1. There are two different types of charge carriers in a pure semiconductor. One is the electron and the other is the hole or absence of electron.
  2. Electrical conduction takes place by transportation of both carriers or any one of the two carriers in a semiconductor.
  3. When a semiconductor is connected in a circuit, electrons, being negatively charged, move towards positive terminal of the battery.
  4. Holes have an effective positive charge, and move towards negative terminal of the battery. Thus, the current through a semiconductor is carried by two types of charge carriers moving in opposite directions.
  5. Figure given below represents the current through a pure silicon.
    Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 10

Question 18.
Why do holes not exist in conductor?
Answer:

  1. In case of semiconductors, there is one missing electron from one of the covalent bonds.
  2. The absence of electron leaves an empty space called as hole; each hole carries an effective positive charge.
  3. In case of an conductor, number of free electrons are always available for conduction. There is no absence of electron in it. Hence holes do not exist in conductor.

Question 19.
What is the need for doping an intrinsic semiconductor?
Answer:
The electric conductivity of an intrinsic semiconductor is very low at room temperature; hence no electronic devices can be fabricated using them. Addition of a small amount of a suitable impurity to an intrinsic semiconductor increases its conductivity appreciably. Hence, intrinsic semiconductors are doped with impurities.

Question 20.
Explain what is doping.
Answer:

  1. The process of adding impurities to an intrinsic semiconductor is called doping.
  2. The impurity atoms are called dopants which may be either trivalent or pentavalent. The parent atoms are called hosts.
  3. The dopant material is so selected that it does not disturb the crystal structure of the host.
  4. The size and the electronic configuration of the dopant should be compatible with that of the host.
  5. Doping is expressed in ppm (parts per million), i.e., one impurity atom per one million atoms of the host.
  6. Doping significantly increases the concentration of charge carriers.

Question 21.
What is extrinsic semiconductors?
Answer:
The semiconductor with impurity is called a doped semiconductor or an extrinsic semiconductor.

Question 22.
Draw neat diagrams showing schematic electronic structure of:
i. A pentavalent atom [Antimony (Sb)]
ii. A trivalent atom [Boron (B)]
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 11
[Note: Electronic structure of antimony is drawn as per its electronic configuration in accordance with Modern Periodic Table.]

Question 23.
With the help of neat diagram, explain the structure of n-type semiconductor in detail.
Answer:
i. When silicon or germanium crystal is doped with a pentavalent impurity such as phosphorus, arsenic, or antimony we get n-type semiconductor.

ii. When a dopant atom of 5 valence electrons occupies the position of a Si atom in the crystal lattice, 4 electrons from the dopant form bonds with 4 neighbouring Si atoms and the fifth electron from the dopant remains very weakly bound to its parent atom
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 12

iii. To make this electron free even at room temperature, very small energy is required. It is 0.01 eV for Ge and 0.05 eV for Si.

iv. As this semiconductor has large number of electrons in conduction band and its conductivity is due to negatively charged carriers, it is called n-type semiconductor.

v. The n-type semiconductor also has a few electrons and holes produced due to the thermally broken bonds.

vi. The density of conduction electrons (ne) in a doped semiconductor is the sum total of the electrons contributed by donors and the thermally generated electrons from the host.

vii. The density of holes (nh) is only due to the thermally generated holes of the host Si atoms.

viii. Thus, the number of free electrons exceeds the number of holes (ne >> nh). Thus, in n-type semiconductor electrons are the majority carriers and holes are the minority carriers.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 24.
What are some features of n-type semiconductor?
Answer:

  1. These are materials doped with pentavalent impurity (donors) atoms.
  2. Electrical conduction in these materials is due to majority charge carriers i.e., electrons.
  3. The donor atom loses electrons and becomes positively charged ions.
  4. Number of free electrons is very large compared to the number of holes, ne >> nh. Electrons are majority charge carriers.
  5. When energy is supplied externally, negatively charged free electrons (majority charges carries) and positively charged holes (minority charges carries) are available for conduction.

Question 25.
With the help of neat diagram, explain the structure of p-type semiconductor in detail.
Answer:
i. When silicon or germanium crystal is doped with a trivalent impurity such as boron, aluminium or indium, we get a p-type semiconductor.

ii. The dopant trivalent atom has one valence electron less than that of a silicon atom. Every trivalent dopant atom shares its three electrons with three neighbouring Si atoms to form covalent bonds. But the fourth bond between silicon atom and its neighbour is not complete.

iii. The incomplete bond can be completed by another electron in the neighbourhood from Si atom.

iv. The shared electron creates a vacancy in its place. This vacancy or the absence of electron is a hole.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 13

v. Thus, a hole is available for conduction from each acceptor impurity atom.

vi. Holes are majority carriers and electrons are minority carriers in such materials. Acceptor atoms are negatively charged ions and majority carriers are holes. Therefore, extrinsic semiconductor doped with trivalent impurity is called a p-type semiconductor.

vii. For a p-type semiconductor, nh >> ne.

Question 26.
What are some features of p-type semiconductors?
Answer:

  1. These are materials doped with trivalent impurity atoms (acceptors).
  2. Electrical conduction in these materials is due to majority charge carriers i.e., holes.
  3. The acceptor atoms acquire electron and become negatively charged-ions.
  4. Number of holes is very large compared to the number of free electrons. nh >> ne. Holes are majority charge carriers.
  5. When energy is supplied externally, positively charged holes (majority charge carriers) and negatively charged free electrons (minority charge carriers) are available for conduction.

Question 27.
What are donor and acceptor impurities?
Answer:

  1. Every pentavalent dopant atom which donates one electron for conduction is called a donor impurity.
  2. Each trivalent atom which can accept an electron is called an acceptor impurity.

Question 28.
Explain the energy levels of both donor and acceptor impurities with a schematic band structure.
Answer:
i. The free electrons donated by the donor impurity atoms occupy energy levels which are in the band gap and are close to the conduction band.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 14

ii. The vacancies of electrons or the extra holes are created in the valence band due to addition of acceptor impurities. The impurity levels are created just above the valence band in the band gap.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 15

Question 29.
Distinguish between p-type and n-type semiconductor.
Answer:

p-type semiconductorn-type semiconductor
1. The impurity of some trivalent element like B, Al, In, etc. is mixed with semiconductor.The impurity of some pentavalent element like P, As, Sb, etc. is mixed
2. The impurity atom accepts one electron hence the impuritiesThe impurity atom donates – one electron, hence the impurities added are known as donor impurities.
3. The holes are majority charge carriers and electrons are minority charge carriers.The electrons are j majority charge carriers and holes are minority charge carriers.
4. The acceptor energy level is close to the valence band and far away from conduction band.Donor energy level is close to the conduction band and far away from valence band.

Question 30.
What is the charge on a p-type and n-type semiconductor?
Answer:
n-type as well as p-type semiconductors are electrically neutral.

Question 31.
Explain the transportation of holes inside a p-type semiconductor.
Answer:
i. Consider a p-type semiconductor connected to terminals of a battery as shown.

ii. When the circuit is switched on, electrons at 1 and 2 are attracted to the positive terminal of the battery and occupy nearby holes at x and y. This creates holes at the positions 1 and 2 previously occupied by electrons.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 16

iii. Next, electrons at 3 and 4 move towards the positive terminal and create holes in their previous positions.

iv. But, the holes are captured at the negative terminal by the electrons supplied by the battery.

v. In this way, holes are transported from one place to other and density of holes is kept constant so long as the battery is working.

Question 32.
A pure Si crystal has 4 × 1028 atoms m-3. It is doped by 1 ppm concentration of antimony. Calculate the number of electrons and holes. Given n1 = 1.2 × 1016/m³.
Answer:
As, the atom is doped with 1 ppm concentration of antimony (Sb).
1 ppm = 1 parts per one million atoms. = 1/106
∴ no. of Si atoms = \(\frac {Total no. of Si atoms}{10^6}\)
= \(\frac {4×10^{28}}{10^6}\) = 4 × 1022 m-3
i.e., total no. of extra free electrons (ne)
= 4 × 1022 m-3
ni2 = ne nh
∴ nh = \(\frac {n_i^2}{n_e}\) = \(\frac {(1.2×10^{16})^2}{4×10^{22}}\)
= \(\frac {144×10^{30}{4×10^{22}}\)
= 36 × 10-8
= 3.6 × 109 m-3.

Question 33.
A pure silicon crystal at temperature of 300 K has electron and hole concentration 1.5 × 1016 m-3 each. (ne = nh). Doping bv indium increases nh to 4.5 × 1022 m-3. Calculate ne for the doped silicon crystal.
Answer:
Given: At 300 K, ni = ne = nh = 1.5 × 1016 m-3
After doping nh = 4.5 × 1022 m-3
To find: Number density of electrons (ne)
Formula: ni² = ne nnh
Calculation From formula:
ne = \(\frac {n_i^2}{n_h}\) = \(\frac {(1.5×10^{16})^2}{4×10^{22}}\)
= \(\frac {255×10^{30}{45×10^{21}}\)
= 5 × 10-9 m-3.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 34.
A Ge specimen is doped with A/. The concentration of acceptor atoms is ~1021 atoms/m³. Given that the intrinsic concentration of electron-hole pairs is ~10 19/m³, calculate the concentration of electrons in the specimen.
Answer:
Given: At room temperature,
ni = ne = nh = 1019 m-3
After doping nh = 1021 m-3
To find: Number density of electrons (nc)
Formulae: ni2 = nenh
Calculation: From formula,
ne = \(\frac {n_i^2}{n_h}\) = \(\frac {(10^{19})^2}{10^{21}}\)
= \(\frac {255×10^{30}{45×10^{21}}\)
= 1017 m-3.

Question 35.
A semiconductor has equal electron and hole concentration of 2 × 108 m-3. On doping with a certain impurity, the electron concentration increases to 4 × 1010 m-3, then calculate the new hole concentration of the semiconductor.
Answer:
Given: ni = 2 × 108 m-3, n = 4 × 1010 m-3
After doping nh = 1021 m-3
To find: Number density of holes (nh)
Formulae: ni 2= nenh
Calculation: From formula.
nh = \(\frac {n_i^2}{n_e}\) = \(\frac {(2×10^{8})^2}{4×10^{10}}\) = 106 m-3

Question 36.
What is a p-n junction?
Answer:
When n-type and p-type semiconductor materials are fused together, the junction formed is called as p-n junction.

Question 37.
Explain the process of diffusion in p-n junction.
Answer:
i. The transfer of electrons and holes across the p-n junction is called diffusion.

ii. When an n-type and a p-type semiconductor materials are fused together, initially, the number of electrons in the n-side of a junction is very large compared to the number of electrons on the p-side. The same is true for the number of holes on the p-side and on the n-side.

iii. Thus, a large difference in density of carriers exists on both sides of the p-n junction. This difference causes migration of electrons from the n-side to the p-side of the
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 17

iv. They fill up the holes in the p-type material and produce negative ions.

v. When the electrons from the n-side of a junction migrate to the p-side, they leave behind positively charged donor ions on the n- side. Effectively, holes from the p-side migrate into the n-region.

vi. As a result, in the p-type region near the junction there are negatively charged acceptor ions, and in the n-type region near the junction there are positively charged donor ions.

vii. The extent up to which the electrons and the holes can diffuse across the junction depends on the density of the donor and the acceptor ions on the n-side and the p-side respectively, of the junction.

Question 38.
Define potential barrier.
Answer:
The diffusion of carriers across the junction and resultant accumulation of positive and negative charges across the junction builds a potential difference across the junction. This potential difference is called the potential barrier.

Question 39.
Draw neat labelled diagrams for potentials barrier and depletion layer in a p-n junction.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 18

Question 40.
Explain in brief electric field across a p-n junction with a neat labelled diagram.
Answer:

  1. When p-type semiconductor is fused with n-type semiconductor, a depletion region is developed across the junction.
  2. The n-side near the boundary of a p-n junction becomes positive with respect to the p-side because it has lost electrons and the p-side has lost holes.
  3. Thus, the presence of impurity ions on both sides of the junction establishes an electric field across this region such that the n-side is at a positive voltage relative to the p-side.
    Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 19

Question 41.
What is the need of biasing a p-n junction?
Answer:

  1. Due to potential barrier across depletion region, charge carriers require extra energy to overcome the barrier.
  2. A suitable voltage needs to be applied to the junction externally, so that these charge carriers can overcome the potential barrier and move across the junction.

Question 41.
Explain the mechanism of forward biased p-n junction.
Answer:

  1. In forward bias, a p-n junction is connected in an electric circuit such that the p-region is connected to the positive terminal and the n-region is connected to the negative terminal of an external voltage source.
  2. The external voltage effectively opposes the built-in potential of the junction. The width of potential barrier is thus reduced.
  3. Also, negative charge carriers (electrons) from the n-region are pushed towards the junction.
  4. A similar effect is experienced by positive charge carriers (holes) in the p-region and they are pushed towards the junction.
  5. Both the charge carriers thus find it easy to cross over the barrier and contribute towards the electric current.
    Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 20

Question 42.
Explain the mechanism of reverse biased p-n junction.
Answer:
i. In reverse biased, the p-region is connected to the negative terminal and the n-region is connected to the positive terminal of the external voltage source. This external voltage effectively adds to the built-in potential of the junction. The width of potential barrier is thus increased.

ii. Also, the negative charge carriers (electrons) from the n-region are pulled away from the junction.

iii. Similar effect is experienced by the positive charge carriers (holes) in the p-region and they are pulled away from the junction.

iv. Both the charge carriers thus find it very difficult to cross over the barrier and thus do not contribute towards the electric current.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 21

Question 43.
State some important features of the depletion region.
Answer:

  1. It is formed by diffusion of electrons from n-region to the p-region. This leaves positively charged ions in the n-region.
  2. The p-region accumulates electrons (negative charges) and the n-region accumulates the holes (positive charges).
  3. The accumulation of charges on either sides of the junction results in forming a potential barrier and prevents flow of charges.
  4. There are no charges in this region.
  5. The depletion region has higher potential on the n-side and lower potential on the p-side of the junction.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 44.
What is p-n junction diode? Draw its circuit symbol.
Answer:
A p-n junction, when provided with metallic connectors on each side is called a junction diode
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 22

Question 45.
Explain asymmetrical flow of current in p-n junction diode in detail.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 23
i. The barrier potential is reduced in forward biased mode and it is increased in reverse biased mode.

ii. Carriers find it easy to cross the junction in forward bias and contribute towards current because the barrier width is reduced and they are pushed towards the junction and gain extra energy to cross the junction.

iii. The current through the diode in forward bias is large and of the order of a few milliamperes (10-3 A) for a typical diode.

iv. When connected in reverse bias, width of the potential barrier is increased and the carriers are pushed away from the junction so that very few carriers can cross the junction and contribute towards current.

v. This results in a very small current through a reverse biased diode. The current in reverse biased diode is of the order of a few microamperes (10-6 A).

vi. When the polarity of bias voltage is reversed, the width of the depletion layer changes. This results in asymmetrical current flow through a diode as shown in figure.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 24

Question 46.
What is knee voltage?
Answer:
In forward bias mode, the voltage for which the current in a p-n junction diode rises sharply is called knee voltage.

Question 47.
What is a forward current in case of zero biased p-n junction diode?
Answer:
When the diode terminals are shorted together, some holes (majority carriers) in the p-side have enough thermal energy to overcome the potential barrier. Such carriers cross the barrier potential and contribute to current. This current is known as the forward current.

Question 48.
Define reverse current in zero biased p-n junction diode.
Answer:
When the diode terminals are shorted together some holes generated in the n-side (minority carriers), move across the junction and contribute to current. This current is known as the reverse current.

Question 49.
Explain the I-V characteristics of a reverse biased junction diode.
Answer:
i. The positive terminal of the external voltage is connected to the cathode (n-side) and negative terminal to the anode (p-side) across the diode.

ii. In case of reverse bias the width of the depletion region increases and the p-n junction behaves like a high resistance.

iii. Practically no current flows through it with an increase in the reverse bias voltage. However, a very small leakage current does flow through the junction which is of the order of a few micro amperes, (µA).

iv. When the reverse bias voltage applied to a diode is increased to sufficiently large value, it causes the p-n junction to overheat. The overheating of the junction results in a sudden rise in the current through the junction. This is because covalent bonds break and a large number of carries are available for conduction. The diode thus no longer behaves like a diode. This effect is called the avalanche breakdown.

v. The reverse biased characteristic of a diode is shown in figure.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 25

Question 50.
Explain zero biased junction diode.
Answer:
i. When a diode is connected in a zero bias condition, no external potential energy is applied to the p-n junction.

li. The potential barrier that exists in a junction prevents the diffusion of any more majority carriers across it. However, some minority carriers (few free electrons in the p-region and few holes in the n-region) drift across the junction.

iii. An equilibrium is established when the majority carriers are equal in number (ne = nh) and both moving in opposite directions. The net current flowing across the junction is zero. This is a state of‘dynamic equilibrium’.

iv. The minority carriers are continuously generated due to thermal energy.

v. When the temperature of the p-n junction is raised, this state of equilibrium is changed.

vi. This results in generating more minority carriers and an increase in the leakage current. An electric current, however, cannot flow through the diode because it is not connected in any electric circuit
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 26

Question 51.
What is dynamic equilibrium?
Answer:
An equilibrium is established when the majority carriers are equal in number (ne = nh) and both moving in opposite directions. The net current flowing across the junction is zero. This is a state of‘dynamic equilibrium’.

Question 52.
Draw a neat diagram and state I-V characteristics of an ideal diode.
Answer:
An ideal diode offers zero resistance in forward biased mode and infinite resistance in reverse biased mode.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 27

Question 53.
What do you mean by static resistance of a diode?
Answer:
Static (DC) resistance:

  1. When a p-n junction diode is forward biased, it offers a definite resistance in the circuit. This resistance is called the static or DC resistance (Rg) of a diode.
  2. The DC resistance of a diode is the ratio of the DC voltage across the diode to the DC current flowing through it at a particular voltage.
  3. It is given by, Rg = \(\frac {V}{I}\)

Question 54.
Explain dynamic resistance of a diode.
Answer:

  1. The dynamic (AC) resistance of a diode, rg, at a particular applied voltage, is defined as
    rg = \(\frac {∆V}{∆I}\)
  2. The dynamic resistance of a diode depends on the operating voltage.
  3. It is the reciprocal of the slope of the characteristics at that point.

Question 55.
Draw a graph representing static and dynamic resistances of a diode.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 28

Question 56.
Refer to the figure as shown below and find the resistance between point A and B when an ideal diode is (i) forward biased and (ii) reverse biased.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 29
Answer:
We know that for an ideal diode, the resistance is zero when forward biased and infinite when reverse biased.
i. Figure (a) shows the circuit when the diode is forward biased. An ideal diode behaves as a conductor and the circuit is similar to two resistances in parallel.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 30
∴ RAB = (30 × 30)/(30 +30) = 900/60 = 15 Ω

ii. Figure (b) shows the circuit when the diode is reverse biased.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 31
It does not conduct and behaves as an open switch along path ACB. Therefore, RAB = 30 Ω. the only resistance in the circuit along the path ADB.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 57.
State advantages of semiconductor devices.
Answer:

  1. Electronic properties of semiconductors can be controlled to suit our requirement.
  2. They are smaller in size and light weight.
  3. They can operate at smaller voltages (of the order of few mV) and require less current (of the order of pA or mA), therefore, consume lesser power.
  4. Almost no heating effects occur, therefore these devices are thermally stable.
  5. Faster speed of operation due to smaller size.
  6. Fabrication of ICs is possible.

Question 58.
State disadvantages of semiconductor devices.
Answer:

  1. They are sensitive to electrostatic charges.
  2. Not very useful for controlling high power.
  3. They are sensitive to radiation.
  4. They are sensitive to fluctuations in temperature.
  5. They need controlled conditions for their manufacturing.
  6. Very few materials are semiconductors.

Question 59.
Explain applications of semiconductors.
Answer:
i. Solar cell:

  1. It converts light energy into electric energy.
  2. t is useful to produce electricity in remote areas and also for providing electricity for satellites, space probes and space stations.

ii. Photo resistor: It changes its resistance when light is incident on it.

iii. Bi-polar junction transistor:

  1. These are devices with two junctions and three terminals.
  2. A transistor can be a p-n-p or n-p-n transistor.
  3. Conduction takes place with holes and electrons.
  4. Many other types of transistors are designed and fabricated to suit specific requirements.
  5. They are used in almost all semiconductor devices.

iv. Photodiode: It conducts when illuminated with light.

v. LED (Light Emitting Diode):

  1. It emits light when current passes through it.
  2. House hold LED lamps use similar technology.
  3. They consume less power, are smaller in size and have a longer life and are cost effective.

vi. Solid State Laser: It is a special type of LED. It emits light of specific frequency. It is smaller in size and consumes less power.

vii. Integrated Circuits (ICs): A small device having hundreds of diodes and transistors performs the work of a large number of electronic circuits.

Question 60.
Explain any four application of p-n junction diode.
Answer:
1. Solar cell:

  1. It converts light energy into electric energy.
  2. It is useful to produce electricity in remote areas and also for providing electricity for satellites, space probes and space stations.

ii. Photodiode: It conducts when illuminated with light.

iii. LED (Light Emitting Diode):

  1. It emits light when current passes through it.
  2. House hold LED lamps use similar technology.
  3. They consume less power, are smaller in size and have a longer life and are cost effective.

iv. Solid State Laser: It is a special type of LED. It emits light of specific frequency. It is smaller in size and consumes less power.

Question 61.
What is thermistor?
Answer:
Thermistor is a temperature sensitive resistor. Its resistance changes with change in its temperature.

Question 62.
What are different ty pes of thermistor and what are their applications?
Answer:
There are two types of thermistor:
i. NTC (Negative Thermal Coefficient) thermistor: Resistance of a NTC thermistor decreases with increase in its temperature. Its temperature coefficient is negative. They are commonly used as temperature sensors and also in temperature control circuits.

ii. PTC (Positive Thermal Coefficient) thermistor: Resistance of a PTC thermistor increases with increase in its temperature. They are commonly used in series with a circuit. They are generally used as a reusable fuse to limit current passing through a circuit to protect against over current conditions, as resettable fuses.

Question 63.
How are thermistors fabricated?
Answer:
Thermistors are made from thermally sensitive metal oxide semiconductors. Thermistors are very sensitive to changes in temperature.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 64.
Enlist any two features of thermistor.
Answer:

  1. A small change in surrounding temperature causes a large change in their resistance.
  2. They can measure temperature variations of a small area due to their small size.

Question 65.
Write a note on:
i. Electric devices
ii. Electronic devices
Answer:
i. Electric devices:

  1. These devices convert electrical energy into some other form.
  2. Examples: Fan, refrigerator, geyser etc. Fan converts electrical energy into mechanical energy. A geyser converts it into heat energy.
  3. They use good conductors (mostly metals) for conduction of electricity.
  4. Common working range of currents for electric circuits is milliampere (mA) to ampere.
  5. Their energy consumption is also moderate to high. A typical geyser consumes about 2.0 to 2.50 kW of power.
  6. They are moderate to large in size and are costly.

ii. Electronic devices:

  1. Electronic circuits work with control or sequential changes in current through a cell.
  2. A calculator, a cell phone, a smart watch or the remote control of a TV set are some of the electronic devices.
  3. Semiconductors are used to fabricate such devices.
  4. Common working range of currents for electronic circuits it is nano-ampere to µA.
  5. They consume very low energy. They are very compact, and cost effective.

Question 66.
Can we take one slab of p-type semiconductor and physically join it to another n-type semiconductor to get p-n junction?
Answer:

  1. No. Any slab, howsoever flat, will have roughness much larger than the inter-atomic crystal spacing (~2 to 3 Å).
  2. Hence, continuous contact at the atomic level will not be possible. The junction will behave as a discontinuity for the flowing charge carriers.

Question 67.
What is Avalanche breakdown and zener breakdown?
Answer:
i. Avalanche breakdown: In high reverse bias, minority carriers acquire sufficient kinetic energy and collide with a valence electron. Due to collisions the covalent bond breaks. The valence electron enters conduction band. A breakdown occurring in such a manner is avalanche breakdown. It occurs with lightly doped p-n junctions.

ii. Zener breakdown: It occurs in specially designed and highly doped p-n junctions, viz., zener diodes. In this case, covalent bonds break directly due to application of high electric field. Avalanche breakdown voltage is higher than zener voltage.

Question 68.
Indicators on platform, digital clocks, calculators make use of seven LEDs to indicate a number. How do you think these LEDs might be arranged?
Answer:
i. The indicators on platforms, digital clocks, calculators are made using seven LEDs arranged in such a way that when provided proper signal they light up displaying desired alphabet or number.

ii. This arrangement of LEDs is called Seven Segment Display.
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 32

Multiple Choice Questions

Question 1.
The number of electrons in the valence shell of semiconductor is ……………
(A) less than 4
(B) equal to 4
(C) more than 4
(D) zero
Answer:
(B) equal to 4

Question 2.
If the temperature of semiconductor is increased, the number of electrons in the valence band will ……………….
(A) decrease
(B) remains same
(C) increase
(D) either increase or decrease
Answer:
(A) decrease

Question 3.
When N-type semiconductor is heated, the ……………..
(A) number of electrons and holes remains same.
(B) number of electrons increases while that of holes decreases.
(C) number of electrons decreases while that of holes increases.
(D) number of electrons and holes increases equally.
Answer:
(D) number of electrons and holes increases equally.

Question 4.
In conduction band of solid, there is no electron at room temperature. The solid is ……………
(A) semiconductors
(B) insulator
(C) conductor
(D) metal
Answer:
(B) insulator

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 5.
In the crystal of pure Ge or Si, each covalent bond consists of …………..
(A) 1 electron
(B) 2 electrons
(C) 3 electrons
(D) 4 electrons
Answer:
(B) 2 electrons

Question 6.
A pure semiconductor is ……………..
(A) an extrinsic semiconductor
(B) an intrinsic semiconductor
(C) p-type semiconductor
(D) n-type semiconductor
Answer:
(B) an intrinsic semiconductor

Question 7.
For an extrinsic semiconductor, the valency of the donor impurity is …………..
(A) 2
(B) 1
(C) 4
(D) 5
Answer:
(D) 5

Question 8.
In a semiconductor, acceptor impurity is
(A) antimony
(B) indium
(C) phosphorous
(D) arsenic
Answer:
(B) indium

Question 9.
What are majority carriers in a semiconductor?
(A) Holes in n-type and electrons in p-type.
(B) Holes in n-type and p-type both.
(C) Electrons in n-type and p-type both.
(D) Holes in p-type and electrons in n-type.
Answer:
(D) Holes in p-type and electrons in n-type.

Question 10.
When a hole is produced in P-type semiconductor, there is ……………….
(A) extra electron in valence band.
(B) extra electron in conduction band.
(C) missing electron in valence band.
(D) missing electron in conduction band.
Answer:
(C) missing electron in valence band.

Question 11.
The number of bonds formed in p-type and n-type semiconductors are respectively
(A) 4,5
(B) 3,4
(C) 4,3
(D) 5,4
Answer:
(B) 3,4

Question 12.
The movement of a hole is brought about by the valency being filled by a ………………..
(A) free electrons
(B) valence electrons
(C) positive ions
(D) negative ions
Answer:
(B) valence electrons

Question 13.
The drift current in a p-n junction is
(A) from the p region to n region.
(B) from the n region to p region.
(C) from n to p region if the junction is forward biased and from p to n region if the junction is reverse biased.
(D) from p to n region if the junction is forward biased and from n to p region if the junction is reverse biased.
Answer:
(B) from the n region to p region.

Question 14.
If a p-n junction diode is not connected to any circuit, then
(A) the potential is same everywhere.
(B) potential is not same and n-type side has lower potential than p-type side.
(C) there is an electric field at junction direction from p-type side to n-type side.
(D) there is an electric field at the junction directed from n-type side to p-type side.
Answer:
(D) there is an electric field at the junction directed from n-type side to p-type side.

Question 15.
In an unbiased p-n junction, holes diffuse from the p-region to n-region because
(A) free electrons in the n-region attract them.
(B) they move across the junction by the potential difference.
(C) hole concentration in p-region is more as compared to n-region.
(D) all the above.
Answer:
(C) hole concentration in p-region is more as compared to n-region.

Question 16.
The width of depletion region ……………
(A) becomes small in forward bias of diode
(B) becomes large in forward bias of diode
(C) is not affected upon by the bias
(D) becomes small in reverse bias of diode
Answer:
(A) becomes small in forward bias of diode

Question 17.
For p-n junction in reverse bias, which of the following is true?
(A) There is no current through P-N junction due to majority carriers from both regions.
(B) Width of potential barriers is small and it offers low resistance.
(C) Current is due to majority carriers.
(D) Both (B) and (C)
Answer:
(A) There is no current through P-N junction due to majority carriers from both regions.

Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors

Question 18.
In the circuit shown below Di and D2 are two silicon diodes. The current in the circuit is …………….
Maharashtra Board Class 11 Physics Important Questions Chapter 14 Semiconductors 33
(A) 2 A
(B) 2 mA
(C) 0.8 mA
(D) very small (approx 0)
Answer:
(D) very small (approx 0)

Question 19.
For an ideal junction diode,
(A) forward bias resistance is infinity.
(B) forward bias resistance is zero.
(C) reverse bias resistance is infinity.
(D) both (B) and (C).
Answer:
(D) both (B) and (C).

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Balbharti Maharashtra State Board 11th Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System Important Questions and Answers.

Maharashtra State Board 11th Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 1.
Describe Gauss’ law of electrostatics in brief.
Answer:
i. Gauss’ law of electrostatics states that electric flux through any closed surface S is equal to the total electric charge Qin enclosed by the surface divided by so.
\(\int \vec{E} \cdot \overrightarrow{\mathrm{dS}}=\frac{\mathrm{Q}_{\text {in }}}{\varepsilon_{0}}\)
where, \(\vec{E}\) is the electric field and e0 is the permittivity of vacuum. The integral is over a closed surface S.

ii. Gauss’ law describes the relationship between an electric charge and the electric field it produces.

Question 2.
Describe Gauss’ law of magnetism in brief.
Answer:
i. Gauss’ law for magnetism states that magnetic monopoles which are thought to be magnetic charges equivalent to the electric charges, do not exist. Magnetic poles always occur in pairs.

ii. This means, magnetic flux through a closed surface is always zero, i.e., the magnetic field lines are continuous closed curves, having neither beginning nor end.
\(\int \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dS}}\) = 0
where, B is the magnetic field. The integral is over a closed surface S.

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 3.
Describe Faraday’s law along with Lenz’s law.
Answer:
i. Faraday’s law states that, time varying magnetic field induces an electromotive force (emf) and an electric field.

ii. Whereas, Lenz’s law states that, the direction of the induced emf is such that the change is opposed.

iii. According to Faraday’s law with Lenz’s law,
\(\int \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{d} l}=-\frac{\mathrm{d} \phi_{\mathrm{m}}}{\mathrm{dt}}\)
where, øm is the magnetic flux and the integral is over a closed loop.

Question 4.
What does Ampere’s law describe?
Answer:
Ampere’s law describes the relation between the induced magnetic field associated with a loop and the current flowing through the loop.

Question 5.
Describe Ampere-Maxwell law in brief.
Answer:
According to Ampere-Maxwell law, magnetic field is generated by moving charges and also by varying electric fields.
\(\int \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{d} l}=\mu_{0} \mathrm{I}+\varepsilon_{0} \mu_{0} \frac{\mathrm{d} \phi_{\mathrm{E}}}{\mathrm{dt}}\)
where, p0 and e0 are the permeability and permittivity of vacuum respectively and the integral is over a closed loop, I is the current flowing through the loop, E is the electric flux linked with the circuit.

Question 6.
What are Maxwell’s equations for charges and currents in vacuum?
Answer:
\(\int \vec{E} \cdot \overrightarrow{\mathrm{dS}}=\frac{\mathrm{Q}_{\text {in }}}{\varepsilon_{0}}\)
\(\int \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dS}}\) = 0
\(\int \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{d} l}=-\frac{\mathrm{d} \phi_{\mathrm{m}}}{\mathrm{dt}}\)
\(\int \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{d} l}=\mu_{0} \mathrm{I}+\varepsilon_{0} \mu_{0} \frac{\mathrm{d} \phi_{\mathrm{E}}}{\mathrm{dt}}\)

Question 7.
Explain the origin of displacement current?
Answer:

  1. Maxwell pointed a major flaw in the Ampere’s law for time dependant fields.
  2. He noticed that the magnetic field can be generated not only by electric current but also by changing electric field.
  3. Therefore, he added one more term to the equation describing Ampere’s law. This term is called the displacement current.

Question 8.
In the following table, every entry on the left column can match with any number of entries on the right side. Pick up all those and write respectively against (i), (ii), and (iii).

Name of the PhysicistWork
i. H. Hertza. Existence of EM waves
ii. J. Maxwellb. Properties of EM waves
iii. G. Marconic. Wireless communication
d. Displacement current

Answer:
(i – a, b), (ii – d), (iii – c)

Question 9.
Varying electric and magnetic fields regenerate each other. Explain.
Answer:

  1. According to Maxwell’s theory, accelerated charges radiate EM waves.
  2. Consider a charge oscillating with some frequency. This produces an oscillating electric field in space, which produces an oscillating magnetic field which in turn is a source of oscillating electric field.
  3. Thus, varying electric and magnetic fields regenerate each other.

Question 10.
Draw a neat diagram representing electromagnetic wave propagating along Z-axis.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 1

Question 11.
How can energy be transported in the form of EM waves?
Answer:

  1. Maxwell proposed that an oscillating electric charge radiates energy in the form of EM wave.
  2. EM waves are periodic changes in electric and magnetic fields, which propagate through space.
  3. Thus, energy can be transported in the form of EM waves.

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 12.
State the main characteristics of EM waves.
Answer:
i. The electric and magnetic fields, \(\vec{E}\) and \(\vec{B}\) are always perpendicular to each other and also to the direction of propagation of the EM wave. Thus, the EM waves are transverse waves.

ii. The cross product (\(\vec{E}\) × \(\vec{B}\)) gives the direction in which the EM wave travels. (\(\vec{E}\) × \(\vec{B}\)) also gives the energy carried by EM wave.

iii. The \(\vec{E}\) and \(\vec{B}\) fields vary sinusoidally and are in phase.

iv. EM waves are produced by accelerated electric charges.

v. EM waves can travel through free space as well as through solids, liquids and gases.

vi. In free space, EM waves travel with velocity c, equal to that of light in free space.
c = \(\frac {1}{\sqrt{µ_0ε_0}}\) = 3 × 108 m/s,
where µ0 is permeability and ε0 is permittivity of free space.

vii. In a given material medium, the velocity (vm) of EM waves is given by vm = \(\frac {1}{\sqrt{µε}}\)
where µ is the permeability and ε is the permittivity of the given medium.

viii. The EM waves obey the principle of superposition.

ix. The ratio of the amplitudes of electric and magnetic fields is constant at any point and is equal to the velocity of the EM wave.
\( \left|\overrightarrow{\mathrm{E}}_{0}\right|=\mathrm{c}\left|\overrightarrow{\mathrm{B}}_{0}\right| \text { or } \frac{\left|\overrightarrow{\mathrm{E}}_{0}\right|}{\left|\overrightarrow{\mathrm{B}_{0}}\right|}=\mathrm{c}=\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}\)
where, |\(\vec{E_0}\)| and |\(\vec{B_0}\)| are the amplitudes of \(\vec{E}\) and \(\vec{B}\) respectively.

x. As the electric field vector (\(\vec{E_0}\)) is more prominent than the magnetic field vector (\(\vec{B_0}\)), it is responsible for optical effects due to EM waves. For this reason, electric vector is called light vector.

xi. The intensity of a wave is proportional to the square of its amplitude and is given by the equations
\(\mathrm{I}_{\mathrm{E}}=\frac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2}, \mathrm{I}_{\mathrm{B}}=\frac{1}{2} \frac{\mathrm{B}_{0}^{2}}{\mu_{0}}\)

xii. The energy of EM waves is distributed equally between the electric and magnetic fields. IE = IB.

Question 13.
Give reason: Electric vector is called light vector.
Answer:
As the electric field vector (\(\vec{E_0}\)) is more prominent than the magnetic field vector (\(\vec{B_0}\)), it is responsible for optical effects due to EM waves. For this reason, electric vector is called light vector.

Question 14.
Explain the equations describing an EM wave.
Answer:
i. In an EM wave, the magnetic field and electric field both vary sinusoidally with x.

ii. For a wave travelling along X-axis having \(\vec{E}\) along Y-axis and \(\vec{B}\) along the Z-axis,
Ey = E0 sin (kx – ωt)
Bz = B0 sin (kx – ωt)
where, E0 is the amplitude of the electric field (Ey) and B0 is the amplitude of the magnetic field (Bz).

iii. The propagation constant is given by k = \(\frac {2π}{λ}\) and λ is the wavelength of the wave. The angular frequency of oscillations is given by ω = 2πv, v being the frequency of the wave.
Hence, Ey = E0 sin (\(\frac {2πx}{λ}\) – 2πvt)
Bz = B0 sin (\(\frac {2πx}{λ}\) – 2πvt)

iv. Both the electric and magnetic fields attain their maximum or minimum values at the same time and at the same point in space, i.e., \(\vec{E}\) and \(\vec{B}\) oscillate in phase with the same frequency.

Question 15.
A radio wave of frequency of 1.0 × 107 Hz propagates with speed 3 × 108 m/s. Calculate its wavelength.
Answer:
Given: v= 1.0 × 107 Hz, c = 3 × 108 m/s
To find: Wavelength (λ)
Formula: vλ
Calculation: From formula,
λ = \(\frac {c}{v}\) = \(\frac {3×10^8}{1.0×10^7}\) = 30 m

Question 16.
A radio can tune in to any station in the 7.5 MHz to 12 MHz band. What is the corresponding wavelength band?
Answer:
Given: V1 = 7.5 MHz = 7.5 × 106 Hz,
V1 = 12 MHz = 12 × 106 Hz.
To find: Wavelength band
Formula: λ = \(\frac {c}{v}\)
Calculation: From formula,
V1 = \(\frac {3×10^8}{7.5×10^6}\) = 40 m
V1 = \(\frac {3×10^8}{12×10^6}\) = 25 m
∴ Wavelength band = 40 m to 25 m

Question 17.
Calculate the ratio of the intensities of the two waves, if amplitude of first beam of light is 1.5 times the amplitude of second beam of light.
Answer:
a1 = 1.5 a2
To find: \(\frac {I_1}{I-2}\)
Formula: I ∝ a²
Calculation: From formula,
\(\frac{I_{1}}{I_{2}}=\left(\frac{a_{1}}{a_{2}}\right)^{2}=\left(\frac{1.5 a_{2}}{a_{2}}\right)^{2}\) = (1.5)² = 2.25

Question 18.
A beam of red light has an amplitude 2.5 times the amplitude of second beam of the same colour. Calculate the ratio of the intensities of the two waves.
Answer:
a1 = 2.5 a2
To find: \(\frac {I_1}{I-2}\)
Formula: I ∝ a²
Calculation: From formula,
\(\frac{I_{1}}{I_{2}}=\left(\frac{a_{1}}{a_{2}}\right)^{2}=\left(\frac{2.5 a_{2}}{a_{2}}\right)^{2}\) = (2.5)² = 6.25

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 19.
Calculate the velocity of EM waves in vacuum.
Answer:
Given: ε0 = 8.85 × 10-12 C²/Nm²
µ0 = 4π × 10-7 Tm/A
To find: Velocity of EM waves (c)
Formula: c = \(\frac {1}{\sqrt{µ_0ε_0}}\)
Calculation: From formula,
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 2
………… (Taking square roots using log table)
= 0.2998 × 109 ≈ 3 × 108 m/s

Question 20.
In free space, an EM wave of frequency 28 MHz travels along the X-direction. The amplitude of the electric field is E = 9.6 V/m and its direction is along the Y-axis. What is amplitude and direction of magnetic field B?
Answer:
Given: v = 28 MHz, E = 9.6 V/m,
c = 3 × 108 m/s
To find:
i. Amplitude of magnetic field (B)
ii. Direction of B
Formula:
|B| = \(\frac {|E|}{c}\)
Calculation: From formula,
|B| = \(\frac {9.6}{3×10^8}\) = 3.2 × 10-8 T
Since that E is along Y-direction and the wave propagates along X-axis. The magnetic induction, B should be in a direction perpendicular to both X and Y axes, i.e., along the Z-direction.

Question 21.
An EM wave of frequency 50 MHz travels in vacuum along the positive X-axis and \(\vec{E}\) at a particular point, x and at a particular instant of time t is 9.6 j V/m. Find the magnitude and direction of \(\vec{B}\) at this point x and at instant of time t.
Answer:
Given: \(\vec{E}\) = 9.6 j V/m
i. e., Electric field E is directed along +Y axis Magnitude of \(\vec{B}\).
|B| = \(\frac {|E|}{c}\) = \(\frac {9.6}{3×10^8}\) = 3.2 × 10-8 T
As the wave propagates along +X axis and E is along +Y axis, direction of B will be along +Z-axis i.e. B = 3.2 × 10-8 \(\hat{k}\)T.

Question 22.
A plane electromagnetic wave travels in vacuum along Z-direction. What can you say about the directions of its electric and magnetic field vectors? If the frequency of the wave is 30 MHz, what is its wavelength?
Answer:
Since the electromagnetic waves are transverse in nature, the electric and magnetic field vectors are mutually perpendicular to each other as well as perpendicular to the direction of propagation of wave.
As the wave is travelling along Z-direction,

\(\vec{E}\) and \(\vec{B}\) are in XY plane.
For v = 30 MHz = 30 × 106 Hz
Wavelength, λ = \(\frac {c}{v}\) = \(\frac {3×10^8}{30×10^6}\) = 10 m

Question 23.
For an EM wave propagating along X direction, the magnetic field oscillates along the Z-direction at a frequency of 3 × 1010 Hz and has amplitude of 10-9 T.
i. What is the wavelength of the wave?
ii. Write the expression representing the corresponding electric field.
Answer:
Given: v = 3 × 1010 Hz, B = 10-9 T
i. For wavelength of the wave:
λ = \(\frac{\mathrm{c}}{\mathrm{v}}=\frac{3 \times 10^{8}}{3 \times 10^{10}}\) = 10-2 m

ii. Since B acts along Z-axis, E acts along Y-axis. Expression representing the oscillating electric field is
Ey = E0 sin (kx – ωt)
Ey = E0 sin [(\(\frac {2π}{λ}\))x – (2πv)t]
Ey = E0 sin 2π [\(\frac {x}{λ}\) – vt]
Ey = E0 sin 2π [\(\frac {x}{10^{-2}}\) – 3 × 1010 t]
Ey = E0 sin 2π [100x – 3 × 1010 t] V/m

Question 24.
The magnetic field of an EM wave travelling along X-axis is
\(\vec{B}\) = \(\hat{k}\) [4 × 10-4 sin (ωt – kx)]. Here B is in tesla, t is in second and x is in m. Calculate the peak value of electric force acting on a particle of charge 5 µC travelling with a velocity of 5 × 105 m/s along the Y-axis.
Answer:
Expression for EM wave travelling along
X-axis, \(\vec{B}\) = \(\hat{k}\) [4 × 10-4 sin (ωt – kx)]
Here, B0 = 4 × 10-4
Given: q = 5 µC = 5 × 10-6 C
v = 5 × 105 m/s along Y-axis
∴ E0 = cB0 = 3 × 108 × 4 × 10-4
= 12 × 104 N/C
Maximum electric force = qE0
= 5 × 10-6 × 12 × 104
= 0.6 N

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 25.
The amplitude of the magnetic field part of harmonic electromagnetic wave in vaccum is B0 = 510 nT. What is the amplitude of the electric field part of the wave?
Answer:
Given: B0 = 510 nT = 510 × 10-9 T
To find: Amplitude of electric field (E0)
Formula: E0 = B0C
Calculation: From formula,
E0 = 510 × 10-9 × 3 × 108
= 153V/m

Question 26.
Suppose that the electric field amplitude of an electromagnetic wave is E0 = 120 N/C and that its frequency is v = 50.0 MHz. (i) Determine, B0, ω, k, and λ. (ii) Find expressions for \(\vec{E}\) and \(\vec{B}\).
Solution:
For E0 = 120 N/C, v = 50 MHz = 50 × 106 Hz
i. λ = \(\frac {c}{v}\) = \(\frac {3×10^8}{50×10^6}\) = 6 m
B0 = \(\frac {E_0}{v}\) = \(\frac {120}{3×10^8}\) = 4 × 10-7 T = 400 nT
k = \(\frac {2π}{λ}\) = \(\frac {2π}{6}\) = 1.0472 rad/m
ω = 2πv = 2π × 50 × 106
= 3.14 × 108 rad/s.

ii. Assuming motion of em wave along X-axis, expression for electric field vector may lie along Y-axis,
∴ \(\vec{E}\) = E0 sin (kx – ωt)
= 120 sin (1.0472 × – 3.14 × 108 t) \(\hat{j}\) N/C
Also, magnetic field vector will lie along Z-axis, expression for magnetic field vector,
∴ \(\vec{E}\) = B0 sin (kx – ωt)
= 4 × 10-7 sin (1.0472 × – 3.14 × 108 t) \(\hat{k}\) T.

Question 27.
What is electromagnetic spectrum?
Answer:
The orderly distribution (sequential arrangement) of EM waves according to their wavelengths (or frequencies) in the form of distinct groups having different properties is called the EM spectrum.

Question 28.
State various units used for frequency of electromagnetic waves.
Answer:

  1. SI unit of frequency of electromagnetic waves is hertz (Hz).
  2. Higher frequencies are represented by kHz, MHz, GHz etc.
    [Note: 1 kHz = 10³ Hz, 1 MHz =106 Hz. 1 GHz = 109 Hz]

Question 29.
State different units used for wavelength of electromagnetic waves.
Answer:

  1. The SI unit of wavelength of electromagnetic waves is metre (m).
  2. Small wavelengths are represented by micrometre (µm), angstrom (Å), nanometre (nm) etc.
    [Note:l A = 10-10 m = 10-8 cm, 1 µm = 10-6 m, 1 nm = 10-9 m.]

Question 30.
How are radio waves produced? State their properties and uses.
Answer:
Production:

  1. Radio waves are produced by accelerated motion of charges in a conducting wire. The frequency of waves produced by the circuit depends upon the magnitudes of the inductance and the capacitance.
  2. Thus, by choosing suitable values of the inductance and the capacitance, radio waves of desired frequency can be produced.

Properties:

  1. They have very long wavelengths ranging from a few centimetres to a few hundreds of kilometres.
  2. The frequency range of AM band is 530 kHz to 1710 kHz. Frequency of the waves used for TV-transmission range from 54 MHz to 890 MHz, while those for FM radio band range from 88 MHz to 108 MHz.

Uses:

  1. Radio waves are used for wireless communication purpose.
  2. They are used for radio broadcasting and transmission of TV signals.
  3. Cellular phones use radio waves to transmit voice communication in the ultra high frequency (UHF) band.

Question 31.
How are microwaves produced? State their properties and uses.
Answer:
Production:

  1. Microwaves are produced by oscillator electric circuits containing a capacitor and an inductor.
  2. They can be produced by special vacuum tubes.

Properties:

  1. They heat certain substances on which they are incident.
  2. They can be detected by crystal detectors.

Uses:

  1. Used for the transmission of TV signals.
  2. Used for long distance telephone communication.
  3. Microwave ovens are used for cooking.
  4. Used in radar systems for the location of distant objects like ships, aeroplanes etc,
  5. They are used in the study of atomic and molecular structure.

Question 32.
How are infrared waves produced? State their properties and uses.
Answer:
Production:

  1. All hot bodies are sources of infrared rays. About 60% of the solar radiations are infrared in nature.
  2. Thermocouples, thermopile and bolometers are used to detect infrared rays.

Properties:

  1. When infrared rays are incident on any object, the object gets heated.
  2. These rays are strongly absorbed by glass.
  3. They can penetrate through thick columns of fog, mist and cloud cover.

Uses:

  1. Used in remote sensing.
  2. Used in diagnosis of superficial tumours and varicose veins.
  3. Used to cure infantile paralysis and to treat sprains, dislocations and fractures.
  4. They are used in solar water heaters and solar cookers.
  5. Special infrared photographs of the body called thermograms, can reveal diseased organs because these parts radiate less heat than the healthy organs.
  6. Infrared binoculars and thermal imaging cameras are used in military applications for night vision.
  7. Used to keep green house warm.
  8. Used in remote controls of TV, VCR, etc.

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 33.
Write short note on visible light.
Answer:

  1. It is the most familiar form of EM waves.
  2. These waves are detected by human eye. Therefore this wavelength range is called the visible light.
  3. The visible light is emitted due to atomic excitations.
  4. Visible light emitted or reflected from objects around us provides us information about those objects and hence about the surroundings.
  5. Different wavelengths give rise to different colours as shown in the table given below.
    ColourWavelength
    Violet380-450 nm
    Blue450-495 nm
    Green495-570 nm
    Yellow570-590 nm
    Orange590-620 nm
    Red620-750 nm

Question 34.
How are ultraviolet rays produced? State their properties and uses.
Answer:
Production:

  1. Ultraviolet rays can be produced by the mercury vapour lamp, electric spark and carbon arc lamp.
  2. They can also be obtained by striking electrical discharge in hydrogen and xenon gas tubes.
  3. The Sun is the most important natural source of ultraviolet rays, most of which are absorbed by the ozone layer in the Earth’s atmosphere.

Properties:

  1. They produce fluorescence in certain materials, such as ‘phosphors’.
  2. They cause photoelectric effect.
  3. They cannot pass through glass but pass through quartz, fluorite, rock salt etc.
  4. They possess the property of synthesizing vitamin D, when skin is exposed to them.

Uses:

  1. Ultraviolet rays destroy germs and bacteria and hence they are used for sterilizing surgical instruments and for purification of water.
  2. Used in burglar alarms and security systems.
  3. Used to distinguish real and fake gems.
  4. Used in analysis of chemical compounds.
  5. Used to detect forgery.

Question 35.
How are X-rays produced? State their properties and uses.
Answer:
Production:

  1. German physicist W. C. Rontgen discovered X-rays while studying cathode rays. Hence, X-rays are also called Rontgen rays.
  2. Cathode ray is a stream of electrons emitted by the cathode in a vacuum tube.
  3. X-rays are produced when cathode rays are suddenly stopped by an obstacle.

Properties:

  1. They are high energy EM waves.
  2. They are not deflected by electric and magnetic fields.
  3. X-rays ionize the gases through which they pass.
  4. They have high penetrating power.
  5. Their over dose can kill living plant and animal tissues and hence are harmful.

Uses:

  1. Useful in the study of the structure of crystals.
  2. X-ray photographs are useful to detect bone fracture. X-rays have many other medical uses such as CT scan.
  3. X-rays are used to detect flaws or cracks in metals.
  4. These are used for detection of explosives, opium etc.

Question 36.
X-rays are used in medicine and industry. Explain.
Answer:
X-rays have many practical applications in medicine and industry. Because X-ray photons are of such high energy, they can penetrate several centimetres of solid matter and can be used to visualize the interiors of materials that are opaque to ordinary light.

Question 37.
How are Gamma rays produced? State their properties and uses.
Answer:
Production:
Gamma rays are emitted from the nuclei of some radioactive elements such as uranium, radium etc.

Properties:

  1. They are highest energy (energy range keV – GeV) EM waves.
  2. They are highly penetrating.
  3. They have a small ionising power.
  4. They kill living cells.

Uses:

  1. Used as insecticide and disinfectant for wheat and flour.
  2. Used for food preservation.
  3. Used in radiotherapy for the treatment of cancer and tumour.
  4. They are used to produce nuclear reactions.

Question 38.
Identify the name and part of electromagnetic spectrum and arrange these wavelengths in ascending order of magnitude:
Electromagnetic waves with wavelength
i. λ1 are used by a FM radio station for broad casting.
ii. λ2 are used to detect bone fracture.
iii. λ3 are absorbed by the ozone layer of atmosphere.
iv. λ4 are used to treat muscular strain.
Answer:
i. λ1 belongs to radiowaves.
ii. λ2 belongs to X-rays.
iii. λ3 belongs to ultraviolet rays.
iv. λ4 belongs to infrared radiations.
Ascending order of magnitude of wavelengths:
λ3 < λ3 < λ4 < λ1

Question 39.
Explain how different types of waves emitted by stars and galaxies are observed?
Answer:
i. Stars and galaxies emit different types of waves. Radio waves and visible light can pass through the Earth’s atmosphere and reach the ground without getting absorbed significantly. Thus, the radio telescopes and optical telescopes can be placed on the ground.

ii. All other type of waves get absorbed by the atmospheric gases and dust particles. Hence, the y-ray, X-ray, ultraviolet, infrared, and microwave telescopes are kept aboard artificial satellites and are operated remotely from the Earth.

iii. Even though the visible radiation reaches the surface of the Earth, its intensity decreases to some extent due to absorption and scattering by atmospheric gases and dust particles. Optical telescopes are therefore located at higher altitudes.

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 40.
In communication using radiowaves, how are EM waves propagated?
Answer:
In communication using radio waves, an antenna in the transmitter radiates the EM waves, which travel through space and reach the receiving antenna at the other end.

Question 41.
Draw a schematic structure of earth’s atmosphere describing different atmospheric layers.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 3

Question 42.
Draw a diagram showing different types of EM waves.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 4

Question 43.
Explain ground wave propagation.
Answer:

  1. When a radio wave from a transmitting antenna propagates near surface of the Earth so as to reach the receiving antenna, the wave propagation is called ground wave or surface wave propagation.
  2. In this mode, radio waves travel close to the surface of the Earth and move along its curved surface from transmitter to receiver.
  3. The radio waves induce currents in the ground and lose their energy by absorption. Therefore, the signal cannot be transmitted over large distances.
  4. Radio waves having frequency less than 2 MHz (in the medium frequency band) are transmitted by ground wave propagation.
  5. This is suitable for local broadcasting only. For TV or FM signals (very high frequency), ground wave propagation cannot be used.

Question 44.
Explain space wave propagation.
Answer:
i. When the radio waves from the transmitting antenna reach the receiving antenna either directly along a straight line (line of sight) or after reflection from the ground or satellite or after reflection from troposphere, the wave propagation is called space wave propagation.

ii. The radio waves reflected from troposphere are called tropospheric waves.

iii. Radio waves with frequency greater than 30 MHz can pass through the ionosphere (60 km – 1000 km) after suffering a small deviation. Hence, these waves cannot be transmitted by space wave propagation except by using a satellite.

iv. Also, for TV signals which have high frequency, transmission over long distance is not possible by means of space wave propagation.

Question 45.
Explain the concept of range of the signal.
Answer:
i. The maximum distance over which a signal can reach is called its range.

ii. For larger TV coverage, the height of the transmitting antenna should be as large as possible. This is the reason why the transmitting and receiving antennas are mounted on top of high rise buildings.

iii. Range is the straight line distance from the point of transmission (the top of the antenna) to the point on Earth where the wave will hit while travelling along a straight line.
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 5

iv. Let the height of the transmitting antenna (AA’) situated at A be h. B represents the point on the surface of the Earth at which the space wave hits the Earth.

v. The triangle OA’B is a right angled triangle. From ∆OA’ B,
(OA’)² = A’B² + OB²
(R + h)² = d² + R²
or R² + h² + 2Rh = d² + R² As
h << R, neglecting h²
d ≈ \(\sqrt{2Rh}\)

vi. The range can be increased by mounting the receiver at a height h’ say at a point C on the surface of the Earth. The range increases to d + d’ where d’ is 2Rh’. Thus
Total range = d + d’ = \(\sqrt{2Rh}\) + \(\sqrt{2Rh’}\)

Question 46.
Explain sky wave propagation.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 6

  1. When radio waves from a transmitting antenna reach the receiving antenna after reflection in the ionosphere, the wave propagation is called sky wave propagation.
  2. The sky waves include waves of frequency between 3 MHz and 30 MHz.
  3. These waves can suffer multiple reflections between the ionosphere and the Earth. Therefore, they can be transmitted over large distances.

Question 47.
What is critical frequency?
Answer:
Critical frequency is the maximum value of the frequency of radio wave which can be reflected back to the Earth from the ionosphere when the waves are directed normally to ionosphere.

Question 48.
What is skip distance (zone)?
Answer:
Skip distance is the shortest distance from a transmitter measured along the surface of the Earth at which a sky wave of fixed frequency (if greater than critical frequency) will be returned to the Earth so that no sky waves can be received within the skip distance.

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 49.
A radar has a power of 10 kW and is operating at a frequency of 20 GHz. It is located on the top of a hill of height 500 m. Calculate the maximum distance upto which it can detect object located on the surface of the Earth.
(Radius of Earth = 6.4 × 106 m)
Answer:
Given: h = 500 m, R = 6.4 × 106 m
To find: Maximum distance or range (d)
Formula: d = \(\sqrt{2Rh}\)
Calculation: From formula,
d = \(\sqrt{2Rh}\) = \(\sqrt{2×64×10^6×500}\)
= 8 × 104
= 80 km

Question 50.
If the height of a TV transmitting antenna is 128 m, how much square area can be covered by the transmitted signal if the receiving antenna is at the ground level? (Radius of the Earth = 6400 km)
Answer:
Given: h = 128 m, R = 6400 km – 6400 × 10³ m
To find: Area covered (A)
Formulae: i. d = \(\sqrt{2Rh}\) ii. A = πd²
Calculation:
From formula (i),
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 7
= 4.048 × 104
= 40.48 km
From formula (ii).
Area covered = 3.142 × (40.48)²
= antilog [log 3.142 + 2log 40.48]
= antilog [0.4972 + 2(1.6073)]
= antilog [3.7118]
= 5.150 × 10³
= 5150 km²

Question 51.
The height of a transmitting antenna is 68 m and the receiving antenna is at the top of a tower of height 34 m. Calculate the maximum distance between them for satisfactory transmission in line of sight mode. (Radius of Earth = 6400 km)
Answer:
Given: ht = 68 m, hr = 34 m,
R = 6400 km = 6.4 × 106 m
To find: Maximum distance or range (d)
Formula: d = \(\sqrt{2Rh}\)
Calculation:
From formula,
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 8
= 2.086 × 104
= 20.86 km
d = dt + dr = 29.51 + 20.86 = 50.37 km

Question 52.
Explain block diagram of communication system.
Answer:
i. There are three basic (essential) elements of every communication system:

  1. Transmitter
  2. Communication channel
  3. Receiver

ii. In a communication system, the transmitter is located at one place and the receiver at another place.
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 9

iii. The communication channel is a passage through which signals transfer in between a transmitter and a receiver.

iv. This channel may be in the form of wires or cables, or may also be wireless, depending on the types of communication system.

Question 53.
What are the two different modes of communication?
Answer:
i. There are two basic modes of communication:
a. point to point communication
b. broadcast communication

ii. In point to point communication mode, communication takes place over a link between a single transmitter and a receiver e.g. telephony.

iii. In the broadcast mode, there are large number of receivers corresponding to the single transmitter e.g., Radio and Television transmission.

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 54.
Explain the following terms:
i. Signal
ii. Analog signal
iii. Digital signal
iv. Transmitter
v. Transducer
vi. Receiver
vii. Attenuation
viii. Amplification
ix. Range
x. Repeater
Answer:
i. Signal: The information converted into electrical form that is suitable for transmission is called a signal. In a radio station, music and speech are converted into electrical form by a microphone for transmission into space. This electrical form of sound is the signal. A signal can be analog or digital.

ii. Analog signal: A continuously varying signal (voltage or current) is called an analog signal. Since a wave is a fundamental analog signal, sound and picture signals in TV are analog in nature.
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 10

iii. Digital signal: A signal (voltage or current) that can have only two discrete values is called a digital signal. For example, a square wave is a digital signal. It has two values viz, +5 V and 0 V.
Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 11

iv. Transmitter: A transmitter converts the signal produced by a source of information into a form suitable for transmission through a channel and subsequent reception.

v. Transducer: A device that converts one form of energy into another form of energy is called a transducer. For example, a microphone converts sound energy into electrical energy. Therefore, a microphone is a transducer. Similarly, a loudspeaker is a transducer which converts electrical energy into sound energy.

vi. Receiver: The receiver receives the message signal at the channel output, reconstructs it in recognizable form of the original message for delivering it to the user of information.

vii. Attenuation: The loss of strength of the signal while propagating through the channel is known as attenuation. It occurs because the channel distorts, reflects and refracts the signals as it passes through it.

viii. Amplification: Amplification is the process of raising the strength of a signal, using an electronic circuit called amplifier.

ix. Range: The maximum (largest) distance between a source and a destination up to which the signal can be received with sufficient strength is termed as range.

x. Repeater: It is a combination of a transmitter and a receiver. The receiver receives the signal from the transmitter, amplifies it and transmits it to the next repeater. Repeaters are used to increase the range of a communication system.

Question 55.
Explain the role of modulation.
Answer:

  1. Low frequency signals cannot be transmitted over large distances. Because of this, a high frequency wave, called a carrier wave, is used.
  2. Some characteristic (e.g. amplitude, frequency or phase) of this wave is changed in accordance with the amplitude of the signal. This process is known as modulation.
  3. Modulation also helps avoid mixing up of signals from different transmitters as different carrier wave frequencies can be allotted to different transmitters.
  4. Without the use of these waves, the audio signals, if transmitted directly by different transmitters, would have got mixed up.

Question 56.
Explain the different types of modulation.
Answer:

  1. Modulation can be done by modifying the amplitude (amplitude modulation), frequency (frequency modulation), and phase (phase modulation) of the carrier wave in proportion to the intensity of the signal wave keeping the other two properties same.
  2. The carrier wave is a high frequency wave while the signal is a low frequency wave.
  3. Waveform (a) in the figure shows a carrier wave and waveform (b) shows the signal.
  4. Amplitude modulation, frequency modulation and phase modulation of carrier waves are shown in waveforms (c), (d) and (e) respectively.
    Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System 12

Question 57.
State advantages and disadvantages of amplitude modulation.
Answer:
Advantages:

  1. It is simple to implement.
  2. It has large range.
  3. It is cheaper.

Disadvantages:

  1. It is not very efficient as far as power usage is concerned.
  2. It is prone to noise.
  3. The reproduced signal may not exactly match the original signal.

In spite of this, these are used for commercial broadcasting in the long, medium and short wave bands.

Question 58.
State uses and limitations of frequency modulation.
Answer:

  1. Frequency modulation (FM) is more complex as compared to amplitude modulation and, therefore is more difficult to implement.
  2. However, its main advantage is that it reproduces the original signal closely and is less susceptible to noise.
  3. This modulation is used for high quality broadcast transmission.

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 59.
State benefits of phase modulation.
Answer:

  1. Phase modulation (PM) is easier than frequency modulation.
  2. It is used in determining the velocity of a moving target which cannot be done using frequency modulation.

Question 60.
Given below are some famous numbers associated with electromagnetic radiations in different contexts in physics. State the part of the electromagnetic spectrum to which each belongs.
i. 21 cm (wavelength emitted by atomic hydrogen in interstellar space).
ii. 1057 MHz (frequency of radiation arising from two close energy levels in hydrogen known as Lamb Shift).
iii. 5890 A – 5896 A [double lines of sodium]
Answer:
i. Radio waves (short wavelength or high frequency end)
ii. Radio waves (short wavelength or high frequency end)
iii. Visible region (yellow light)

Question 61.
Vidhya and Vijay were studying the effect of certain radiations on flower plants. Vidhya exposed her plants to UV rays and Vijay exposed his plants to infrared rays. After few days, Vidhya’s plants got damaged and Vijay’s plants had beautiful bloom. Why did this happen?
Answer:
Frequency of UV rays is greater than infrared rays, hence UV rays are much more energetic than infrared rays. Plants cannot tolerate the exposure of high energy rays. As a result, Vidhya’s plants got damaged and Vijay’s plants had a beautiful bloom.

Multiple Choice Questions

Question 1.
Which of the following type of radiations are radiated by an oscillating electric charge?
(A) Electric
(B) Magnetic
(C) Thermoelectric
(D) Electromagnetic
Answer:
(D) Electromagnetic

Question 2.
If \(\vec{E}\) and \(\vec{B}\) are the electric and magnetic field vectors of e.m. waves, then the direction of propagation of e.m. direction of wave is along the
(A) \(\vec{E}\)
(B) \(\vec{B}\)
(C) \(\vec{E}\) × \(\vec{B}\)
(D) \(\vec{E}\) • \(\vec{B}\)
Answer:
(C) \(\vec{E}\) × \(\vec{B}\)

Question 3.
The unit of expression µ0o ε0 is
(A) m / s
(B) m² / s²
(C) s² / m²
(D) s / m
Answer:
(C) s² / m²

Question 4.
According to Maxwell’s equation the velocity of light in any medium is expressed as
(A) \(\frac {1}{\sqrt{µ_0ε_0}}\)
(B) \(\frac {22}{\sqrt{µε}}\)
(C) \(\sqrt{\frac {µ}{ε}}\)
(D) \(\sqrt{\frac {µ_0}{ε}}\)
Answer:
(B) \(\frac {22}{\sqrt{µε}}\)

Question 5.
The electromagnetic waves do not transport.
(A) energy
(B) charge
(C) momentum
(D) pressure
Answer:
(B) charge

Question 6.
In an electromagnetic wave, the direction of the magnetic induction \(\vec{B}\) is
(A) parallel to the electric field \(\vec{E}\).
(B) perpendicular to the electric field \(\vec{E}\).
(C) antiparallel to the pointing vector \(\vec{S}\).
(D) random.
Answer:
(B) perpendicular to the electric field \(\vec{E}\).

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 7.
Which of the following electromagnetic waves have the longest wavelength?
(A) heat waves
(B) light waves
(C) radio waves
(D) microwaves.
Answer:
(C) radio waves

Question 8.
Radio waves do not penetrate in the band of
(A) ionosphere
(B) mesosphere
(C) troposphere
(D) stratosphere
Answer:
(A) ionosphere

Question 9.
Which of the following electromagnetic wave has least wavelength?
(A) Gamma rays
(B) X- rays
(C) Radio waves
(D) microwaves
Answer:
(A) Gamma rays

Question 10.
If E is an electric field and \(\vec{B}\) is the magnetic induction, then the energy flow per unit area per unit time in an electromagnetic field is given by
(A) \(\frac {1}{µ_0}\) \(\vec{E}\) × \(\vec{B}\)
(B) \(\vec{E}\).\(\vec{B}\)
(C) E² + B²
(D) \(\frac {E}{B}\)
Answer:
(A) \(\frac {1}{µ_0}\) \(\vec{E}\) × \(\vec{B}\)

Question 11.
Out of the X-rays, microwaves, ultra-violet rays, the shortest frequency wave is ……………
(A) X-rays
(B) microwaves
(C) ultra-violet rays
(D) γ-rays
Answer:
(B) microwaves

Question 12.
The part of electromagnetic spectrum used in operating radar is ……………
(A) y-rays
(B) visible rays
(C) infra-red rays
(D) microwaves
Answer:
(D) microwaves

Question 13.
The correct sequence of descending order of wavelength values of the given radiation source is …………..
(A) radio waves, microwaves, infra-red, γ- rays
(B) γ-rays, infra-red, radio waves, microwaves
(C) Infra-red, radio waves, microwaves, γ- rays
(D) microwaves, γ-rays, infra-red, radio waves
Answer:
(A) radio waves, microwaves, infra-red, γ- rays

Question 14.
The nuclei of atoms of radioactive elements produce ……………
(A) X-rays
(B) γ-rays
(C) microwaves
(D) ultra-violet rays
Answer:
(B) γ-rays

Question 15.
The electronic transition in atom produces
(A) ultra violet light
(B) visible light
(C) infra-red rays
(D) microwaves
Answer:
(B) visible light

Question 16.
When radio waves from transmitting antenna reach the receiving antenna directly or after reflection in the ionosphere, the wave propagation is called ………………
(A) ground wave propagation
(B) space wave propagation
(C) sky wave propagation
(D) satellite propagation
Answer:
(C) sky wave propagation

Question 17.
The basic components of a transmitter are ……………..
(A) message signal generator and antenna
(B) modulator and antenna
(C) signal generator and modulator
(D) message signal generator, modulator, and antenna
Answer:
(D) message signal generator, modulator, and antenna

Question 18.
The process of changing some characteristics of a carrier wave in accordance with the incoming signal is called …………..
(A) amplification
(B) modulation
(C) rectification
(D) demodulation
Answer:
(B) modulation

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 19.
The process of superimposing a low-frequency signal on a high-frequency wave is …………….
(A) detection
(B) mixing
(C) modulation
(D) attenuation
Answer:
(C) modulation

Question 20.
A device that converts one form of energy into another form is termed as ……………
(A) transducer
(B) transmitter
(C) amplifier
(D) receiver
Answer:
(A) transducer

Question 21.
A microphone that converts sound into an electrical signals is an example of.
(A) a thermistor
(B) a rectifier
(C) a modulator
(D) an electrical transducer
Answer:
(D) an electrical transducer

Question 22.
The process of regaining information from carries wave at the receiver is called
(A) modulation
(B) transmission
(C) propagation
(D) demodulation
Answer:
(D) demodulation

Question 23.
The range of communication can be increased by
(A) increasing the heights of transmitting and receiving antennas.
(B) decreasing the heights of transmitting and receiving antennas.
(C) increasing the height of the transmitting antenna and decreasing the height of receiving antenna.
(D) increasing height of receiving antenna only.
Answer:
(A) increasing the heights of transmitting and receiving antennas.

Question 24
The ionosphere mainly consists of
(A) positive ions and electrons
(B) water vapour and smoke
(C) ozone layer
(D) dust particles
Answer:
(A) positive ions and electrons

Question 25.
The reflected waves from the ionosphere are
(A) ground waves.
(B) sky waves.
(C) space waves.
(D) very high-frequency waves.
Answer:
(B) sky waves.

Question 26.
Communication is the process of
(A) Keep in touch.
(B) exchanging information.
(C) broadcasting.
(D) entertainment.
Answer:
(B) exchanging information.

Question 27.
The message fed to the transmitter is generally
(A) radio signals
(B) audio signals
(C) both (A) and (B)
(D) optical signals
Answer:
(B) audio signals

Question 28.
Line of sight propagation is also called……………. propagation.
(A) skywave
(B) ground wave
(C) sound wave
(D) space wave
Answer:
(D) space wave

Question 29.
The ozone layer in the atmosphere absorbs
(A) only the radio waves.
(B) only the visible light.
(C) only the γ rays.
(D) X-rays and ultraviolet rays.
Answer:
(D) X-rays and ultraviolet rays.

Question 30.
Modem communication systems consist of
(A) electronic systems
(B) electrical system
(C) optical system
(D) all of these
Answer:
(D) all of these

Question 31.
What determines the absorption of radio waves by the atmosphere?
(A) Frequency
(B) Polarisation
(C) Interference
(D) Distance of receiver
Answer:
(A) Frequency

Question 32.
The portion of the atmosphere closest to the earth’s surface is ……………
(A) troposphere
(B) stratosphere
(C) mesosphere
(D) ionosphere
Answer:
(A) troposphere

Maharashtra Board Class 11 Physics Important Questions Chapter 13 Electromagnetic Waves and Communication System

Question 33.
An antenna behaves as resonant circuit only when its length is ………………
(A) λ/2
(B) λ/4
(C) λ
(D) n λ/2
Answer:
(D) n λ/2

Question 34.
Space wave travels through …………………
(A) ionosphere
(B) mesosphere
(C) troposphere
(D) stratosphere
Answer:
(C) troposphere

Question 35.
Transmission lines start radiating
(A) at low frequencies
(B) at high frequencies.
(C) at both high and low frequencies.
(D) none of the above.
Answer:
(B) at high frequencies.

Question 36.
If ‘ht‘ and ‘hr’ are height of transmitting and receiving antennae and ‘R’ is radius of the earth, the range of space wave is
(A) \(\sqrt {2R}\) (ht + hr)
(B) 2R \(\sqrt {(ht + hr)}\)
(C) \(\sqrt {2R(ht + hr)}\)
(D) \(\sqrt {2R}\) (√ht + √hr)
Answer:
(D) \(\sqrt {2R}\) (√ht + √hr)

Question 37.
In a communication system, noise is most likely to affect the signal ………..
(A) at the transmitter
(B) in the transmission medium
(C) in the information source
(D) at the destination
Answer:
(B) in the transmission medium

Question 38.
The power radiated by linear antenna of length 7’ is proportional to (A = wavelength)
(A) \(\frac {λ}{l}\)
(B) (\(\frac {λ}{l}\))²
(C) \(\frac {l}{λ}\)
(D) (\(\frac {l}{λ}\))²
Answer:
(D) (\(\frac {l}{λ}\))²

Question 39.
For efficient radiation and reception of a signal with wavelength λ, the transmitting antennas would have length comparable to ……………….
(A) λ of frequency used
(B) λ/2 of frequency used
(C) λ/3 of frequency used
(D) λ/4 of frequency used
Answer:
(A) λ of frequency used

Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism

Balbharti Maharashtra State Board 11th Physics Important Questions Chapter 12 Magnetism Important Questions and Answers.

Maharashtra State Board 11th Physics Important Questions Chapter 12 Magnetism

Question 1.
What are some commonly known facts about magnetism?
Answer:
Some commonly known facts about magnetism:

  1. Every magnet regardless of its size and shape has two poles called the north pole and the south pole.
  2. Isolated magnetic monopoles do not exist. If a magnet is broken into two or more pieces then each piece behaves like an independent magnet with a somewhat weaker magnetic field.
  3. Like magnetic poles repel each other, whereas unlike poles attract each other.
  4. When a bar magnet/ magnetic needle is suspended freely or is pivoted, it aligns itself in the geographically north-south direction.

Question 2.
What are some properties of magnetic lines of force?
Answer:

  1. Magnetic lines of force originate from the north pole and end at the south pole.
  2. The magnetic lines of force of a magnet or a solenoid form closed loops. This is in contrast to the case of an electric dipole, where the electric lines of force originate from the positive charge and end on the negative charge.
  3. The direction of the net magnetic field \(\vec{B}\) at a point is given by the tangent to the magnetic line of force at that point.
  4. The number of lines of force crossing per unit area decides the magnitude of a magnetic field \(\vec{B}\).
  5. The magnetic lines of force do not intersect. This is because had they intersected, the direction of the magnetic field would not be unique at that point.

Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism

Question 3.
What is magnetic flux? What is unit of magnetic flux in SI system?
Answer:

  1. The number of lines of force per unit area is called magnetic flux (ø).
  2. SI unit of magnetic flux (ø) is weber (Wb).

Question 4.
How do we determine strength of magnetic field at a given point due to a magnet? Write down units of magnetic field in SI and CGS system and their interconversion.
Answer:
i. Density of lines of force i.e., the number of lines of force per unit area around a particular point determines the strength of the magnetic field at that point.

ii. The magnitude of magnetic field strength B at a point in a magnetic field is given by,
Magnetic Field = \(\frac {magnetic flux}{area}\)
i.e., B = \(\frac {ø}{A}\)

iii. SI unit of magnetic field (B) is expressed as weber/m² or Tesla.

iv. 1 Tesla = 10⁴ Gauss

Question 5.
What is the unit of magnetic intensity?
Answer:
SI unit: weber/m² or Tesla.

Question 6.
Explain the pole strength and magnetic dipole moment of a bar magnet.
Answer:
i. The bar magnet said to have pole strength +qm and -qm near the north and south poles respectively.

ii. As bar magnet has two poles with equal and opposite pole strength, it is called as a magnetic dipole.

iii. The two poles are separated by a distance equal to 2l.

iv. The product of pole strength and the magnetic length is called as magnetic dipole moment.
∴ \(\vec{m}\) = qm (2\(\vec{l}\))
where, 2\(\vec{l}\) is a vector from south pole to north pole.

Question 7.
State the SI units of pole strength and magnetic dipole moment.
Answer:

  1. SI unit of pole strength (qm) is Am.
  2. SI unit of magnetic dipole moment (m) is Am².

Question 8.
Draw neat labelled diagram for a bar magnet.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism 1

Question 9.
Define and explain the following terms in case of a bar magnet:
i. Axis
ii. Equator
iii. Magnetic length
Answer:
i. Axis: It is the line passing through both the poles of a bar magnet. There is only one axis for a given bar magnet.

ii. Equator:

  • A line passing through the centre of a magnet and perpendicular to its axis is called magnetic equator.
  • The plane containing all equators is called the equatorial plane.
  • The locus of points, on the equatorial plane, which are equidistant from the centre of the magnet is called the equatorial circle.
  • The popularly known ‘equator’ of the planet is actually an ‘equatorial circle’. Such a circle with any diameter is an equator.

iii. Magnetic length (2l)
It is the distance between the two poles of a magnet.
Magnetic length (2l) = \(\frac {5}{6}\) × Geometric length.

Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism

Question 10.
State the expression for magnetic induction at a point due to a very short bar magnet along its axis.
Answer:
For very short bar magnet, the magnetic induction at point on the axis is given as,
\(\overrightarrow{\mathrm{B}}_{\mathrm{axis}}=\frac{\mu_{0}}{4 \pi} \frac{2 \overrightarrow{\mathrm{m}}}{\mathrm{r}^{3}}\)

Question 11.
State the expression for the magnetic induction at any point along the equator of a very short bar magnet.
Answer:
For very short bar magnet, the magnetic induction at point on the equator is given as,
\(\overrightarrow{\mathrm{B}}_{\text {equator }}=-\frac{\mu_{0}}{4 \pi} \frac{\overrightarrow{\mathrm{m}}}{\mathrm{r}^{3}}\)

Question 12.
Show that the magnitude of magnetic induction at a point on the axis of a short bar magnet is twice the magnitude of magnetic induction at a point on the equator at the same distance.
Answer:
i. Magnitude of magnetic induction at a point along the axis of a short magnet is given by,
\(\mathrm{B}_{\mathrm{axis}}=\frac{\mu_{0}}{4 \pi} \frac{2 \mathrm{~m}}{\mathrm{r}^{3}}\) ………….. (1)

ii. Magnitude of magnetic induction at a point on equatorial line is given by
\(\mathrm{B}_{\text {equator }}=\frac{\mu_{0}}{4 \pi} \frac{\mathrm{m}}{\mathrm{r}^{3}}\) …………… (2)

iii. Dividing equation (1) by (2), we get,
\(\frac{\mathrm{B}_{\mathrm{axis}}}{\mathrm{B}_{\mathrm{eq}}}=\frac{\frac{\mu_{0}}{4 \pi} \frac{2 \mathrm{~m}}{\mathrm{r}^{3}}}{\frac{\mu_{0}}{4 \pi} \frac{\mathrm{m}}{\mathrm{r}^{3}}}\)
∴ \(\frac{B_{\text {axis }}}{B_{e q}}\) = 2
∴ Baxis = 2Beq

Question 13.
Derive an expression for the magnetic field due to a bar magnet at an arbitrary point.
Answer:
i. Consider a bar magnet of magnetic moment \(\vec{m}\) with centre at O as shown in figure and let P be any point in its magnetic field.
Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism 2

ii. Magnetic moment \(\vec{m}\) is resolved into components along \(\vec{r}\) and perpendicular to \(\vec{r}\).

iii. For the component m cos θ along \(\vec{r}\), the point P is an axial point.

iv. For the component m sinθ perpendicular to \(\vec{r}\), the point P is an equatorial point at the same distance \(\vec{r}\).

v. For a point on the axis, Ba = \(\frac{\mu_{0}}{4 \pi} \frac{2 m}{\mathrm{r}^{3}}\)
Here
Ba = \(\frac{\mu_{0}}{4 \pi} \frac{2 m \cos \theta}{r^{3}}\) ………….. (1)
directed along m cosθ.

vi. For point on equator,
Ba = \(\frac{\mu_{o}}{4 \pi} \frac{m \sin \theta}{r^{3}}\) …………. (2)
directed opposite to m sin θ

vii. Thus, the magnitude of the resultant magnetic field B, at point P is given by
Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism 3

viii. Let a be the angle made by the direction of \(\vec{B}\) with \(\vec{r}\). Then, by using equation (1) and equation (2),
tan α = \(\frac {B_{eq}}{B_a}\) = \(\frac {1}{2}\) (tan θ)
The angle between directions of \(\vec{B}\) and \(\vec{m}\) is then (θ + a).

Question 14.
A bar magnet of magnetic moment 5.0 Am² has the poles 20 cm apart. Calculate the pole strength.
Solution:
Given: m = 5.0 Am², 2l = 20 cm = 0.20 m
To find: Pole strength (qm)
Formula: qm = \(\frac {m}{2l}\)
Calculation:
From formula.
qm = \(\frac {5.0}{0.20}\) = 25 Am

Question 15.
A bar magnet has magnetic moment 3.6 Am² and pole strength 10.8 Am. Determine its magnetic length and geometric length.
Answer:
Given: m = 3.6 Am², qm = 10.8 Am
To find:
i. Magnetic length
ii. Geometric length
Formulae:
i. Magnetic length = \(\frac {m}{q_m}\)
ii. Geometric length = \(\frac {6}{5}\) × magnetic length.
Calculation: From formula (i),
Magnetic length = \(\frac {3.6}{10.8}\) = 0.33 m
From formula (ii),
Geometric length = \(\frac {6}{5}\) × 0.33
= 0.396 m ≈ 0.4 m

Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism

Question 16.
A short magnetic dipole has magnetic moment 0.5 A m². Calculate its magnetic field at a distance of 20 cm from the centre of magnetic dipole on (i) the axis (ii) the equatorial line (Given µ0 = 4π × 10-7 SI units)
Answer:
Given: m = 0.5 Am², r = 20 cm = 20 × 10-2 m
To Find: i. Magnetic field on the axial point (Ba)
ii. Magnetic field on the equatorial point (Beq)
Formulae:
i. Ba = \(\frac{\mu_{0}}{4 \pi} \frac{2 m}{r^{3}}\)
ii. Ba = 2Beq
Calculation: From formula (i),
Ba = 10-7 × \(\frac{2 \times 0.5}{(0.2)^{3}}\)
= \(\frac{10^{-7}}{8 \times 10^{-3}}\)
= 0.125 × 10-4
∴ Ba = 1.25 × 10-5 Wb/m²
From formula (ii),
Beq = \(\frac {B_a}{2}\) = \(\frac {1.25×10^{-5}}{2}\)
= 0.625 × 10-5 Wb/m²

Question 17.
A short bar magnet has a magnetic moment of 0.48 JT-1. Give the direction and magnitude of the magnetic field produced by the magnet at a distance of 10 cm from the centre of the magnet on (i) the axis (ii) the equatorial lines (normal bisector) of the magnet.
Answer:
Given: m = 0.48 JT-1, r = 10 cm = 0.1 m
To find:
i. Magnetic induction along axis (Ba)
ii. Magnetic induction along equator (Beq)
Formulae:
i. Ba = \(\frac {µ_0}{4π}\) \(\frac {2m}{r^3}\)
ii. Ba = 2 Beq
Calculation: From formula (i),
Ba = 10-7 × \(\frac {2×0.48}{10^{-3}}\)
∴ Ba = 0.96 × 10-4 T along S-N direction
From formula (ii),
Beq = \(\frac {0.96×106{-4}}{2}\)
∴ Beq = 0.48 × 10-4 T along N-S direction

Question 18.
Define the following magnetic parameters.
i. Magnetic axis
ii. Magnetic equator
iii. Magnetic Meridian
Answer:
i. Magnetic axis: The Earth is considered to be a huge magnetic dipole. The straight line joining the two poles is called the magnetic axis.

ii. Magnetic equator: A great circle in the plane perpendicular to magnetic axis is magnetic equatorial circle.

iii. Magnetic Meridian: A plane perpendicular to surface of the Earth (Vertical plane) and passing through the magnetic axis is magnetic meridian. Direction of resultant magnetic field of the Earth is always along or parallel to magnetic meridian.

Question 19.
Draw neat labelled diagram representing the Earth as a magnet.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism 4

Question 20.
Define magnetic declination.
Answer:
Angle between the geographic and the magnetic meridian at a place is called magnetic declination (α).

Question 21.
Draw a neat labelled diagram showing the magnetic declination at a place.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism 5

Question 22.
Draw a neat labelled diagram for angle of dip.
Answer:
Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism 6

Write a short note on Earth’s magnetic field. Mention the extreme values of magnetic field at magnetic poles and magnetic equator.
Ans:
i. Magnetic force experienced per unit pole strength is magnetic field \(\vec{B}\) at that place.

ii. This field can be resolved in components along the horizontal (\(\vec{B}_H\)) and along vertical (\(\vec{B}_v\)).

iii. The two components are related with the angle of dip (ø) as, BH = B cos ø, Bv = B sin ø
\(\frac {B_v}{B_H}\) = tan ø
B² = B\(_v^2\) + B\(_H^2\)
∴ B = \( \sqrt{\mathrm{B}_{\mathrm{V}}^{2}+\mathrm{B}_{\mathrm{H}}^{2}}\)

iv. At the magnetic North pole: \(\vec{B}\) = \(\vec{B}\)v, directed upward, \(\vec{B}\)H = 0 and ø = 90°.

v. At the magnetic south pole: \(\vec{B}\) = \(\vec{B}\)v, directed downward, \(\vec{B}\)H = 0 and ø = 270°.

vi. Anywhere on the magnetic equator (magnetic great circle): B = BH along South to North, \(\vec{B}\)v = 0 and ø = 0

Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism

Question 23.
What are magnetic maps?
Answer:
Magnetic elements of the Earth (BH, α and ø) vary from place to place and also with time. The maps providing these values at different locations are called magnetic maps.

Question 24.
Define following terms in case of magnetic maps:
i. Isomagnetic charts
ii. Isodynamic lines
iii. Isogonic lines
iv. Aclinic lines
Answer:
i. Isomagnetic charts: Magnetic maps drawn by joining places with the same value of a particular element are called isomagnetic charts.
ii. Isodynamic lines: Lines joining the places of equal horizontal components (BH) on magnetic maps are known as isodynamic lines.
iii. Isogonic lines: Lines joining the places of equal declination (α) on magnetic maps are called isogonic lines.
iv. Aclinic lines: Lines joining the places of equal inclination or dip (ø) on magnetic maps are called aclinic lines.

Question 25.
Magnetic equator and geographical equator of the earth are same. Is this true or false?
Answer:
False. Magnetic equator and geographical equator of the earth are not same. By definition, they are different. Magnetic declination is the angle between magnetic equator and geographical equator of the earth.

Question 26.
Earth’s magnetic field at the equator is approximately 4 × 10-5 T. Calculate Earth’s dipole moment. (Radius of Earth = 6.4 × 106 m, µ0 = 4π × 10-7 SI units)
Answer:
Consider earth’s magnetic field as due to a bar magnet at the centre of earth, held along the polar axis of earth.
∴ Beq = \(\frac {µ_0}{4π}\) \(\frac {m}{r^3}\) ……….. (where, R = radius of earth)
∴ m = \(\frac{\mathrm{B}_{\mathrm{eq}} \times \mathrm{R}^{3}}{\mu_{0} / 4 \pi}\) = \(\frac{4 \times 10^{-5} \times\left(6.4 \times 10^{6}\right)^{3}}{10^{-7}}\)
= 4 × (6.4)³ × 1020
= 1048 × 1020
∴ M = 1.048 × 1023 Am²

Question 27.
At a given place on the Earth, a bar magnet of magnetic moment \(\vec{m}\) is kept horizontal in the East-West direction. P and Q are the two neutral points due to magnetic field of this magnet and \(\vec{B}\)H is the horizontal component of the Earth’s magnetic field.
i. Calculate the angles between position vectors of P and Q with the direction of \(\vec{m}\).
ii. Points P and Q are 1 m from the centre of the bar magnet and BH = 3.5 × 10-5 T. Calculate magnetic dipole moment of the bar magnet.
Neutral point is that point where the resultant magnetic field is zero.
Answer:
i. The direction of magnetic field \(\vec{B}\) due to the bar magnet is opposite to \(\vec{B}\)H at the neutral points P and Q such that (θ + α) = 90° at P and (θ + α) = 270° at Question
∴ tan α = \(\frac {1}{2}\) tan θ
∴ tan θ = 2 tan α
= 2 tan (90 – θ) and 2 tan (270 – θ)
∴ tan θ = ± 2 cot θ
∴ tan²θ = 2 …….. (1)
∴ tanθ = ±√2
∴ θ = tan-1 (±√2)
∴ θ = 54°44′ and 180° – 54° 44° = 125°16′

ii. For magnetic dipole moment of the bar magnet:
From equation (2), tan² θ = 2
∴ sec² θ = 1 + tan² θ = 1 + 2 = 3
∴ cos² θ = \(\frac {1}{3}\)
r = 1 m and B = BH = 3.5 × 10-5 T ……. (Given)
we have,
Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism 7

Question 28.
A bar magnet is cut into two equal parts vertically and half part of a bar magnet is kept on the other such that opposite poles align each other. Calculate the magnetic moment of the combination, if m is the magnetic moment of the original magnet.
Answer:
When bar magnet is cut into two equal parts, then magnetic moment of each part becomes half of the original directed from S to N pole.
∴ Magnetic moment of the combination = \(\frac {m}{2}\) – \(\frac {m}{2}\) = 0
∴ The net magnetic moment of the combination is zero.

Question 29.
Answer the following questions regarding earth’s magnetism:
i. Which direction would a compass needlepoint to, if located right on the geomagnetic north or south pole?
ii. Geologists claim that besides the main magnetic N-S poles, there are several local poles on the earth’s surface oriented in different directions. How is such a thing possible at all?
Answer:
i. At the poles, earth’s magnetic field is exactly vertical. As the compass needle is free to rotate in a horizontal plane only, it may point out in any direction.
ii. The earth’s magnetic field is only approximately a dipole field. Hence the local N-S poles may lie oriented in different directions. This is possible due to deposits of magnetised minerals in the earth’s crust.

Choose the correct option.

Question 1.
The ratio of magnetic induction along the axis to magnetic induction along the equator of a magnet is
(A) 1 : 1
(B) 1 : 2
(C) 2 : 1
(D) 4 : 1
Answer:
(C) 2 : 1

Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism

Question 2.
Magnetic field lines
(A) do not intersect each other.
(B) intersect each other at 45°.
(C) intersect each other at 90°.
(D) intersect each other at 60°.
Answer:
(A) do not intersect each other.

Question 3.
The points A and B are situated perpendicular to the axis of 2 cm long bar magnet at large distances x and 3 x from the centre on opposite sides. The ratio of magnetic fields at A and B will be approximately equal to
(A) 27 : 1
(B) 1 : 27
(C) 9 : 1
(D) 1 : 9
Answer:
(A) 27 : 1

Question 4.
A compass needle is placed at the magnetic pole. It
(A) points N – S.
(B) points E – W.
(C) becomes vertical.
(D) may stay in any direction.
Answer:
(D) may stay in any direction.

Question 5.
Magnetic lines of force originate from …………… pole and end at …………….. pole outside the magnet.
(A) north, north
(B) north, south
(C) south, north
(D) south, south
Answer:
(B) north, south

Question 6.
Two isolated point poles of strength 30 A-m and 60 A-m are placed at a distance of 0.3 m. The force of repulsion between them is
(A) 2 × 10-3 N
(B) 2 × 10-4 N
(C) 2 × 105 N
(D) 2 × 10-5 N
Answer:
(A) 2 × 10-3 N

Question 7.
The magnetic dipole moment has dimensions of
(A) current × length.
(B) charge × time × length.
(C) current × area.
(D) \(\frac {current}{area}\)
Answer:
(C) current × area.

Question 8.
A large magnet is broken into two pieces so that their lengths are in the ratio 2:1. The pole strengths of the two pieces will have the ratio
(A) 2 : 1
(B) 1 :2
(C) 4 : 1
(D) 1 : 1
Answer:
(A) 2 : 1

Question 9.
The magnetic induction B and the force F on a pole of strength m are related by
(A) B = m F
(B) F = nIABm
(C) F = m B
(D) F = \(\frac {m}{B}\)
Answer:
(C) F = m B

Question 10.
A magnetic dipole has magnetic length 10 cm and pole strength 100 Am. Its magnetic dipole moment is ………………. Am².
(A) 1000
(B) 500
(C) 10
(D) 5
Answer:
(C) 10

Question 11.
The geometric length of a bar magnet having half magnetic length 5 cm is …………… cm.
(A) 12
(B) 10
(C) 6
(D) 4.2
Answer:
(A) 12

Question 12.
The angle of dip at the equator is
(A) 90°
(B) 45°
(C) 30°
(D) 0°
Answer:
(D) 0°

Maharashtra Board Class 11 Physics Important Questions Chapter 12 Magnetism

Question 13.
The angle of dip at the magnetic poles of the earth is
(A) 90°
(B) 45°
(C) 30°
(D) 0°
Answer:
(A) 90°