Chemistry · Textbook solutions

Solid State

Every solved example, exercise, and miscellaneous question, in the order the textbook teaches them. Plus every board question asked from this chapter. · 45 questions

1. Solid State — worked examples

6 q

Solved Examples

Worked · 6

Solved Ex.1.1 $When gold crystallizes, it forms face-centred cubic cells. The unit cell edge length is 408 pm. Calculate the density of gold. Molar mass of gold is 197 g/mol.$
Solved Ex.1.2 $A compound made of elements C and D crystallizes in fcc structure. Atoms of C are present at the corners of the cube. Atoms of D are at the centres of faces of the cube. What is the formula of the compound?$
Solved Ex.1.3 $The unit cell of metallic silver is fcc. If radius of Ag atom is 144.4 pm, calculate (a) edge length of unit cell (b) volume of Ag atom, (c) the percent of the volume of a unit cell, that is occupied by Ag atoms, (d) the percent of empty space.$
Solved Ex.1.4 $A compound is formed by two elements A and B. The atoms of element B forms ccp structure. The atoms of A occupy 1/3rd of tetrahedral voids. What is the formula of the compound?$
Solved Ex.1.5 $^3$
Solved Ex.1.6 $A compound forms hcp structure. What is the number of (a) octahedral voids (b) tetrahedral voids (c) total voids formed in 0.4 mol of it.$

Exercises

39 q

1. Choose the most correct answer

Practice · 8

Choose the most correct answer.
Ex Q.1 (i) $Molecular solids are$
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Ex Q.1 (ii) $Which of the follwong is n-type semiconductor?$
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Ex Q.1 (iii) $In Frenkel defect$
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Ex Q.1 (iv) $In crystal lattice formed by bcc unit cell the void volume is$
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Ex Q.1 (v) $The coordination number of atoms in bcc crystal lattice is$
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Ex Q.1 (vi) $Which of the following is not correct?$
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Ex Q.1 (vii) $A compound forms hcp structure. Number of octahedral and tetrhedral voids in 0.5 mole of substance is respectively$
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Ex Q.1 (vii-b) $Pb has fcc structure with edge length of unit cell 495 pm. Radius of Pb atom is$
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2. Answer the following in one or two sentences

Practice · 10

Answer the following in one or two sentences.
Ex Q.2 (i) $What are the types of particles in each of the four main classes of crystalline solids ?$
Ex Q.2 (ii) $Which of the three types of packing used by metals makes the most efficient use of space and which makes the least efficient use?$
Ex Q.2 (iii) $The following pictures show population of bands for materials having different electrical properties. Classify them as insulator, semiconductor or a metal.$
Ex Q.2 (iv) $What is the unit cell?$
Ex Q.2 (v) $How does electrical conductivity of a semiconductor change with temperature? Why?$
Ex Q.2 (vi) $The picture represents bands of MOs for Si. Label valence band, conduction band and band gap.$
Ex Q.2 (vii) $A solid is hard, brittle and electrically nonconductor. Its melt conducts electricity. What type of solid is it?$
Ex Q.2 (viii) $Mention two properties that are common to both hcp and ccp lattices.$
Ex Q.2 (ix) $Sketch a tetrahedral void.$
Ex Q.2 (x) $What are ferromagnetic substances?$

3. Answer the following in brief

Practice · 10

Answer the following in brief.
Ex Q.3 (i) $What are valence band and conduction band?$
Ex Q.3 (ii) $Distinguish between ionic solids and molecular solids.$
Ex Q.3 (iii) $Calculate the number of atoms in fcc unit cell.$
Ex Q.3 (iv) $How are the spheres arranged in first layer of simple cubic close-packed structures? How are the successive layers of spheres placed above this layer?$
Ex Q.3 (v) $Calculate the packing efficiency of metal crystal that has simple cubic structure.$
Ex Q.3 (vi) $What are paramagnetic substances? Give examples.$
Ex Q.3 (vii) $What are the consequences of Schottky defect?$
Ex Q.3 (viii) $\mathrm{Cl^{\ominus}}$
Ex Q.3 (ix) $Cu crystallizes in fcc unit cell with edge length of 495 pm. What is the radius of Cu atom?$
Ex Q.3 (x) $Obtain the relationship between density of a substance and the edge length of unit cell.$

Questions 4 to 14

Practice · 11

Ex Q.4 $^3$
Ex Q.5 $^3$
Ex Q.6 $In an ionic crystalline solid atoms of element Y form hcp lattice. The atoms of element X occupy one third of tetrahedral voids. What is the formula of the compound ?$
Ex Q.7 $How are tetrahedral and octahedral voids formed?$
Ex Q.8 $Third layer of spheres is added to second layer so as to form hcp or ccp structure. What is the difference between the addition of third layer to form these hexagonal close-packed structures?$
Ex Q.9 $^3$
Ex Q.10 $An element has a bcc structure with unit cell edge length of 288 pm. How many unit cells and number of atoms are present in 200 g of the element?$
Ex Q.11 $Distinguish with the help of diagrams metal conductors, insulators and semiconductors from each other.$
Ex Q.12 $What are n-type semiconductors? Why is the conductivity of doped n-type semiconductor higher than that of pure semiconductor? Explain with diagram.$
Ex Q.13 $Explain with diagram, Frenkel defect. What are the conditions for its formation? What is its effect on density and electrical neutrality of the crystal?$
Ex Q.14 $What is an impurity defect? What are its types? Explain the formation of vacancies through aliovalent impurity with example.$

What the board has asked from this chapter

Questions per paper · 16 papers · 2014 to 2026

June 2026

3 q

Select and write the correct answers for the following multiple choice type of questions :
Q.1.v $-$
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Cubic System
Q. 15 $(a) Derive a relationship between molar mass, density of the substance and unit cell edge length. (b) Define - paramagnetic solids.$
Cubic System
Q. 29(i) $Define - Polymorphism.$
Crystal Structure and Unit Cells

February 2026

3 q

Answer the following questions :
Q.2.vi $Copper has fcc structure with edge length 495 pm. What is the radius of copper atom in pm?$
Cubic System
Q. 3 $Define : (a) Isomorphism (b) Unit Cell$
Crystal Structure and Unit Cells
Q. 28(i) $Define : (a) Schottky defect (b) Ferromagnetism$
Crystal Defects and Imperfections

July 2025

3 q

Select and write the correct answer for the following multiple choice type of questions :
Q.1.i $Coordination number of atoms in bcc crystal lattice is _____.$
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Cubic System
Q. 3 $4 \times 10^{-8}$
Cubic System
Q. 27(i) $Distinguish between crystalline and amorphous solids.$
Classification of Crystalline Solids

February 2025

3 q

Select and write the correct answer for the following multiple choice type of questions :
Q.1.i $Schottky defect is NOT observed in _____.$
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Crystal Defects and Imperfections
Q.27.a $2.7\ \mathrm{g\ cm^{-3}}$
Cubic System
Q.30.a $Define a unit cell. Which colour is shown by NaCl crystal due to formation of F-centre?$
Crystal Defects and Imperfections

July 2024

3 q

Select and write the correct answer for the following multiple choice type of questions :
Q.1.iii $The relation between radius of sphere and edge length in simple cubic lattice is ____.$
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Cubic System
Q. 6 $Differentiate between ionic crystals and covalent crystals.$
Classification of Crystalline Solids
Q. 30(i) $197\ \mathrm{g\ mole^{-1}}$
Cubic System

February 2024

3 q

Select and write the correct answer for the following multiple choice type of questions :
Q.1.vi $The number of particles present in Face Centred Cubic Unit Cell is/are _____.$
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Cubic System
Q. 14 $Derive the relationship between molar mass, density of the substance and unit cell edge length.$
Cubic System
Q. 29(i) $Predict the type of cubic lattice of a solid element having edge length of 400 pm and density is 6.25 g/ml (Atomic mass of element = 60)$
Cubic System

March 2023

3 q

Select and write the correct answer for the following multiple choice type of questions:
Q.1.i $The relation between radius of sphere and edge length in body centered cubic lattice is given by formula:$
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Cubic System
Q. 6 $Explain the following terms: (i) Substitutional impurity defect (ii) Interstitial impurity defect$
Crystal Defects and Imperfections
Q. 29(i) $Silver crystallizes in fcc structure. If edge length of unit cell is 400 pm, calculate density of silver (Atomic mass of Ag = 108).$
Cubic System

March 2022

1 q

Q.1.i $The co-ordination number of atoms in body centred cubic structure (bcc) is ______.$
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Packing of Particles in Crystal Lattice

February 2020

1 q

Q.1.ix $a$
Cubic System

March 2018

1 q

Q.1.ii $\text{r}^{+}/\text{r}^{-}$
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Packing of Particles in Crystal Lattice

March 2017

1 q

Q.1.v $An ionic compound crystallises in FCC type structure with 'A' ions at the centre of each face and 'B' ions occupying corners of the cube. The formula of compound is ______.$
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Cubic System

March 2016

1 q

Q.4.ii $Iodine exists as ______.$
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Classification of Crystalline Solids

March 2014

1 q

Q.4.i $To prepare n-type semiconductor, the impurity to be added to silicon should have the following number of valence electrons?.$
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Electrical Properties of Solids

The 10 board questions to practise first

The questions the board asked again come first, most asked first. Each one says how often and when.

Question 1
Asked 2 times: Feb 2024, Jun 2026
Q. 15 $(a) Derive a relationship between molar mass, density of the substance and unit cell edge length. (b) Define - paramagnetic solids.$
Question 2
Asked 2 times: Mar 2023, Jun 2026
Select and write the correct answers for the following multiple choice type of questions :
Q.1.v $-$
Tap an option to check your answer.
Question 3
Asked 2 times: Jul 2024*, Jul 2025 (* = numbers or wording changed that year)
Q. 3 $4 \times 10^{-8}$
Question 4
Asked 2 times: Mar 2022, Jul 2025
Select and write the correct answer for the following multiple choice type of questions :
Q.1.i $Coordination number of atoms in bcc crystal lattice is _____.$
Tap an option to check your answer.
Question 5
This type asked 5 times: Mar 2023, Feb 2024, Jul 2024, Feb 2025, Jul 2025. This one: Feb 2025
Q.27.a $2.7\ \mathrm{g\ cm^{-3}}$
Question 6
This type asked 4 times: Mar 2023, Jul 2024, Feb 2026, Jun 2026. This one: Feb 2026
Answer the following questions :
Q.2.vi $Copper has fcc structure with edge length 495 pm. What is the radius of copper atom in pm?$
Question 7
This type asked 3 times: Mar 2023, Feb 2025, Feb 2026. This one: Feb 2026
Q. 28(i) $Define : (a) Schottky defect (b) Ferromagnetism$
Question 8
This type asked 3 times: Mar 2017, Feb 2020, Feb 2024. This one: Feb 2024
Select and write the correct answer for the following multiple choice type of questions :
Q.1.vi $The number of particles present in Face Centred Cubic Unit Cell is/are _____.$
Tap an option to check your answer.
Question 9
This type asked 2 times: Feb 2026, Jun 2026. This one: Jun 2026
Q. 29(i) $Define - Polymorphism.$
Question 10
This type asked 2 times: Jul 2024, Jul 2025. This one: Jul 2025
Q. 27(i) $Distinguish between crystalline and amorphous solids.$

1. Solid State — worked examples

Solved Examples

Exercises

1. Choose the most correct answer

2. Answer the following in one or two sentences

3. Answer the following in brief

Questions 4 to 14

What the board has asked from this chapter

June 2026

February 2026

July 2025

February 2025

July 2024

February 2024

March 2023

March 2022

February 2020

March 2018

March 2017

March 2016

March 2014

The 10 board questions to practise first

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10