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JEE Solid State PYQs with Solutions

255 previous year questions from Solid State (JEE Main & Advanced Chemistry) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

255 questionsChemistry2002–2025Answers + solutions

About Solid State PYQs

Solid State has 255 previous year questions in the Quantrex Academy JEE Main & Advanced Chemistry bank. The 220 questions in this list come from JEE Main (104), NTA Abhyas JEE Main (77), JEE Advanced (20) and 1 other source, spanning 2002 to 2025. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2025: 1
  • 2023: 13
  • 2022: 10
  • 2021: 18
  • 2020: 83
  • 2019: 10
  • 2018: 5
  • 2017: 2
  • 2016: 1
  • 2015: 2
  • 2014: 5
  • 2013: 6

Solid State questions with solutions

1

The density (in g cm^ -3 ) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to 400 pm is . Use: Atomic mass of metal =105.6

JEE Advanced 2025 Solution View → 2

Atoms of metals x, y and z form face-centred cubic (fcc) unit cell of edge length L _ x , body-centred cubic (bcc) unit cell of edge length L _ y , and simple cubic unit cell of

JEE Advanced 2023 Solution View → 3

Which of the following expressions is correct in case of a CsCl unit cell (edge length ‘ a ’) ?

JEE Main 2023 Solution View → 4

Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of 4Å . The radius of sodium atom is ___ × 10 ^ - 1 Å . (Nearest integer)

JEE Main 2023 Solution View → 5

An atomic substance A of molar mass 12g mol ^ – 1 has a cubic crystal structure with edge length of 300pm . The no. of atoms present in one unit cell of A is (Nearest integer)

JEE Main 2023 Solution View → 6

The correct relationships between unit cell edge length ‘ a ’ and radius of sphere ‘ r ’ for face-centred and body-centred cubic structures respectively

JEE Main 2023 Solution View → 7

Number of crystal systems from the following where body centred unit cell can be found, is _____. Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic

JEE Main 2023 Solution View → 8

A compound is formed by two elements X and Y . The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the

JEE Main 2023 Solution View → 9

A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge length of 2 . 0 and 2 . 5 ° A respectively. The ratio of

JEE Main 2023 Solution View → 10

Which of the following represents the lattice structure of A _ 0 . 95 O containing A ^ 2 + , A ^ 3 + and O ^ 2 – ions? A. B. C.

JEE Main 2023 Solution View → 11

A sample of a metal oxide has formula M _ 0 . 83 O _ 1 . 00 . The metal M can exist in two oxidation states + 2 and + 3 . In the sample of M _ 0 . 83 O _ 1 . 00 , the percentage

JEE Main 2023 Solution View → 12

Iron oxide FeO , crystallises in a cubic lattice with a unit cell edge length of 5 . 0 Å . If density of the FeO in the crystal is 4 . 0g cm ^ - 3 , then the number of FeO units

JEE Main 2023 Solution View → 13

A metal M forms hexagonal close-packed structure. The total number of voids in 0 . 02mol of it is _____ × 10 ^ 21 (Nearest integer) (Given N _ A = 6 . 02 × 10 ^ 23 )

JEE Main 2023 Solution View → 14

A cubic solid is made up of two elements X and Y . Atoms of X are present on every alternate corner and one at the center of cube. Y is at (1)/(3)rd of the total faces. The

JEE Main 2023 Solution View → 15

Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in % ) of the resultant solid is closest to

JEE Advanced 2022 Solution View → 16

Ionic radii of cation A ^ + and anion B ^ - are 102 and 181pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for B ^

JEE Main 2022 Solution View → 17

Metal M crystallizes into a FCC lattice with the edge length of 4 . 0 × 10 ^ - 8 cm . The atomic mass of the metal is g / mol . (Use : N _ A = 6 . 02 × 10 ^ 23 mol ^ - 1 , density

JEE Main 2022 Solution View → 18

An element M crystallises in a body centred cubic unit cell with a cell edge of 300pm . The density of the element is 6 . 0g cm ^ - 3 . The number of atoms present in 180g of the

JEE Main 2022 Solution View → 19

The incorrect statement about the imperfections in solids is

JEE Main 2022 Solution View → 20

Metal deficiency defect is shown by Fe _ 0 . 93 O . In the crystal, some Fe ^ 2 + cations are missing and loss of positive charge is compensated by the presence of Fe ^ 3 + ions.

JEE Main 2022 Solution View → 21

Two elements A and B which form 0 . 15 moles of A _ 2 B and AB _ 3 type compounds. If both A _ 2 B and AB _ 3 weigh equally, then the atomic weight of A is____times of atomic

JEE Main 2022 Solution View → 22

In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of

JEE Main 2022 Solution View → 23

The distance between Na ^ + and Cl ^ - ions in solid NaCl of density 43 . 1g cm ^ - 3 is . . . . . × 10 ^ - 10 m . (Nearest Integer) (Given : N _ A = 6 . 02 × 10 ^ 23 mol ^ - 1 )

JEE Main 2022 Solution View → 24

Atoms of element X form hcp lattice and those of element Y occupy (2)/(3) of its tetrahedral voids. The percentage of element X in the lattice is (Nearest integer)

JEE Main 2022 Solution View → 25

For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the packing fraction is approximately

JEE Advanced 2021 Solution View → 26

The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the octahedral sites in A _ x B . The value of x is (Integer

JEE Main 2021 Solution View → 27

Match List - I with List - II: List-I (Property) List-II (Example) (a) Diamagnetism (i) MnO (b) Ferrimagnetism (ii) O _ 2 (c) Paramagnetism (iii) NaCl (d) Antiferromagnetism (iv)

JEE Main 2021 Solution View → 28

Given below are two statements: Statement I : Frenkel defects are vacancy as well as interstitial defects. Statement II : Frenkel defect leads to colour in ionic solids due to

JEE Main 2021 Solution View → 29

Select the correct statements. (A) Crystalline solids have long range order. (B) Crystalline solids are isotropic. (C) Amorphous solid are sometimes called pseudo solids. (D)

JEE Main 2021 Solution View → 30

The parameters of the unit cell of a substance are a = 2 . 5, b = 3 . 0, c = 4 . 0, α = 90 ° , β = 120 ° γ = 90 ° . The crystal system of the substance is :

JEE Main 2021 Solution View → 31

A copper complex crystallising in a CCP lattice with a cell edge of 0 . 4518nm has been revealed by employing X -ray diffraction studies. The density of a copper complex is found

JEE Main 2021 Solution View → 32

Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where 50 % of the tetrahedral voids are also

JEE Main 2021 Solution View → 33

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R . Assertion A: Sharp glass edge becomes smooth on heating it up to its melting

JEE Main 2021 Solution View → 34

The oxide that shows magnetic property is:

JEE Main 2021 Solution View → 35

A hard substance melts at high temperature and is an insulator in both solid and in molten state. This solid is most likely to be a / an :

JEE Main 2021 Solution View → 36

In a binary compound, atoms of element A form a hcp structure and those of element M occupy 2 / 3 of the tetrahedral voids of the hcp structure. The formula of the binary compound

JEE Main 2021 Solution View → 37

KBr is doped with 10 ^ - 5 mole percent of SrBr _ 2 The number of cationic vacancies in 1g of KBr crystal is 10 ^ 14 . (Round off to the Nearest Integer). [Atomic Mass : K = 39 .

JEE Main 2021 Solution View → 38

Ga (atomic mass 70u ) crystallizes in a hexagonal close packed structure. The total number of voids in 0 . 581g of Ga is ________ × 10 ^ 21 . (Round off to the Nearest Integer).

JEE Main 2021 Solution View → 39

A certain element crystallises in a bcc lattice of unit cell edge length 27 o A . If the same element under the same conditions crystallises in the fcc lattice, the edge length of

JEE Main 2021 Solution View → 40

The number of octahedral voids per lattice site in a lattice is_. (Rounded off to the nearest integer)

JEE Main 2021 Solution View → 41

The unit cell of copper corresponds to a face centered cube of edge length 3 . 596Å with one copper atom at each lattice point. The calculated density of copper in kg / m ^ 3 is

JEE Main 2021 Solution View → 42

The coordination number of an atom in a body-centered cubic structure is______ [Assume that the lattice is made up of atoms.]

JEE Main 2021 Solution View → 43

The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the correct

JEE Advanced 2020 Solution View → 44

A crystal is made up of metal ions ' M _ 1 ' and ' M _ 2 ' and oxide ions. Oxide ions form a ccp lattice structure. The cation ' M _ 1 ' occupies 50 % of octahedral voids and the

JEE Main 2020 Solution View → 45

An element crystallises in a face–centred cubic (fcc) unit cell with cell edge a. The distance between the centres of two nearest octahedral voids in the crystal lattice is:

JEE Main 2020 Solution View → 46

A diatomic molecule X _ 2 has a body-centred cubic ( bcc ) structure with a cell edge of 300pm . The density of the molecule is 6 . 17 gcm ^ - 3 . The number of molecules present

JEE Main 2020 Solution View → 47

An element with molar mass 2 .7 × 10 ^ - 2 kg mol ^ - 1 forms a cubic unit cell with edge length 405pm . If its density is 2 . 7 × 10 ^ 3 kg m ^ - 3 , the radius of the element is

JEE Main 2020 Solution View → 48

Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?

JEE Main 2020 Solution View → 49

The radius ratio of KF is 0.98 . The structure of KF is of the type

NTA Abhyas JEE Main 2020 Solution View → 50

How many unit cells are present in a cube shaped ideal crystal of NaCl of mass 1.00g ?

NTA Abhyas JEE Main 2020 Solution View → 51

A body centred cubic lattice is made up of hollow sphere of B. Sphere of solid A are present in hollow sphere of B. Radius of A is half of the radius of B. What is the ratio of

NTA Abhyas JEE Main 2020 Solution View → 52

A solid XY has NaCl structure. If radius of X^ + is 100 pm. What is the radius of Y^ - ion:

NTA Abhyas JEE Main 2020 Solution View → 53

In orthorhombic unit cell the value of a, b and c are respectively 4.2 Å,8.6 Å and 8.3 Å . Given the molecular mass of the solute is 155 gmol^ - 1 and density is 3.3 g/cc , the

NTA Abhyas JEE Main 2020 Solution View → 54

A crystal made up of particles X, Y, and Z. X forms fcc packing. Y occupies all octahedral voids of X and Z occupies all tetrahedral voids of X. It all particles along one body

NTA Abhyas JEE Main 2020 Solution View → 55

In a hypothetical solid, C atoms are found to form cubical close-packed lattice. A atoms occupy all tetrahedral voids and B atoms occupy all octahedral voids. A and B atoms are of

NTA Abhyas JEE Main 2020 Solution View → 56

Calculate the percentage of packing efficiency in simple cubic unit cell.

NTA Abhyas JEE Main 2020 Solution View → 57

A body centre cubic lattice is made up of two different types of atoms A and B. Atom A occupies the body centre and B occupying the corner positions. One of the corners is left

NTA Abhyas JEE Main 2020 Solution View → 58

The radii of Na^ + and Cl^ - ions are 95pm and 181pm respectively. The edge length of NaCl unit cell is

NTA Abhyas JEE Main 2020 Solution View → 59

The number of unit cells present in 39g of potassium if it crystallizes as body centred cube is ( N= Avogadro number, At. Wt. of potassium = 39g/mol )

NTA Abhyas JEE Main 2020 Solution View → 60

r _ Na^ + = 195pm and r _ Cl^ - = 281pm in NaCl (rock salt) structure. What is the shortest distance between Na^ + ions?

NTA Abhyas JEE Main 2020 Solution View → 61

A _ 2 B has antifluorite structure ( B forms FCC lattice and A occupies tetrahedral voids). If all ions along any one body diagonal are removed, then new formula of compound will

NTA Abhyas JEE Main 2020 Solution View → 62

Strontium crystallizes in a fcc unit cell with edge length a. It contains 0.2% Frenkel defect and another crystal of Sr contains 0.1% Schottky defect. Density of solid with

NTA Abhyas JEE Main 2020 Solution View → 63

A metallic element exists in cubic lattice. Each edge of unit cell is 4 o A The density of metal is 6.25g /m^ 3 . How many unit cells will be present in 100g of metal?

NTA Abhyas JEE Main 2020 Solution View → 64

The radius ratio of KF is 0.98. The structure of KF is the type.

NTA Abhyas JEE Main 2020 Solution View → 65

In a compound oxide ion have ccp arrangement, cations A are present in (1)/(8) of the tetrahedral voids and cations B occupy (1)/(2) of the octahedral voids. What are the formula

NTA Abhyas JEE Main 2020 Solution View → 66

CsCl crystallises in body centred cubic lattice. If 'a' is its edge length then which of the following expressions is correct?

NTA Abhyas JEE Main 2020 Solution View → 67

TlAl ( SO_ 4 ) _ 2 . xH_ 2 O is bcc with edge length ‘a’ = 1.22nm . If the density of the solid is 2.32g / cc , then the value of x is (Given: N _ A =6× 10^ 23 , atomtextc weight

NTA Abhyas JEE Main 2020 Solution View → 68

A metal crystallizes into two cubic systems-face centred cubic (fcc) and simple cubic (SC), whose unit cell lengths are 4.5 and 1.5 o A respectively. Calculate the ratio of

NTA Abhyas JEE Main 2020 Solution View → 69

Number of crystal systems having only 2 types of bravais lattices = x , number of crystal system having at least two interfacial angles equal = y and number of crystal systems

NTA Abhyas JEE Main 2020 Solution View → 70

The metal M crystallizes in a body cantered lattice with cell edge 400pm . The atomic radius of M is

NTA Abhyas JEE Main 2020 Solution View → 71

One mole crystal of a metal halide of the type MX with molecular weight 119g having face centered cubic structure with unit cell length 6.58Å was recrystallized. The density of

NTA Abhyas JEE Main 2020 Solution View → 72

The arrangement of X^ - ions around A^ + ion in solid AX is given in the figure (not drawn to scale). If the radius of X^ - is 250pm , the radius of A^ + is

NTA Abhyas JEE Main 2020 Solution View → 73

What is the simplest formula of a solid whose unit cell has the atom A at each corner, the atom B at each face centre and a C atom at the body centre?

NTA Abhyas JEE Main 2020 Solution View → 74

In which of the following crystals alternate tetrahedral voids are occupied ?

NTA Abhyas JEE Main 2020 Solution View → 75

For [Fe F _ 6 ] ^ 3 - and [Co F _ 6 ] ^ 3 - , the correct statement is

NTA Abhyas JEE Main 2020 Solution View → 76

The shortest distance between two Na + ions in rock-salt arrangement having edge length equal to a 2 picometers is-

NTA Abhyas JEE Main 2020 Solution View → 77

The number of unit cells in 58.5g of NaCl is approximately

NTA Abhyas JEE Main 2020 Solution View → 78

The crystal system of a compound with unit cell dimensions a = 0.387, b = 0.387 and c = 0.504 nm and α = β = 9 0 ^ o and γ = 12 0 ^ o is

NTA Abhyas JEE Main 2020 Solution View → 79

A solid is formed and it has three types of atoms X, Y and Z. X forms a fcc lattice with Y atoms occupying all tetrahedral voids and Z atoms occupying half of octahedral voids.

NTA Abhyas JEE Main 2020 Solution View → 80

CsBr has bcc structure with edge length 4.3 Å . The shortest inter ionic distance in between Cs ^ + and Br^ − is –

NTA Abhyas JEE Main 2020 Solution View → 81

What is the coordination number of Cs + in CsCl?

NTA Abhyas JEE Main 2020 Solution View → 82

If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes

NTA Abhyas JEE Main 2020 Solution View → 83

The density of KBr is 2.75gcm^ - 3 , length of the unit cell is 654 pm. K = 39, Br = 80, then what can be true about the predicted nature of the solid? (Given: N _ A = 6.023 × 10

NTA Abhyas JEE Main 2020 Solution View → 84

Which of the following compounds is metallic and ferromagnetic?

NTA Abhyas JEE Main 2020 Solution View → 85

A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of 400 pm. If the density of the substance in the crystal is 8 g c m ^ - 3 , then the

NTA Abhyas JEE Main 2020 Solution View → 86

Element X crystallizes in 12 co-ordination fcc lattice. On applying high temperature it changes to 8 co-ordination bcc lattice. Find the ratio of the density of the crystal

NTA Abhyas JEE Main 2020 Solution View → 87

A metallic element crystallizes into a lattice containing a sequence of hexagonal layers of ABABAB....... What percentage by volume of this lattice is empty space?

NTA Abhyas JEE Main 2020 Solution View → 88

An elemental crystal has a density of 8570kg / m ^ 3 . The packing efficiency is 0.68. The closest distance of approach between neighbouring atom is 2.86Å . What is the mass in

NTA Abhyas JEE Main 2020 Solution View → 89

Which of the following arrangements shows the schematic alignment of magnetic moments of anti-ferromagnetic substance?

NTA Abhyas JEE Main 2020 Solution View → 90

What are the coordination number (C.N.) of Ca^ 2 + and F^ - ion in calcium fluoride (Ca F _ 2 ) crystal structure?

NTA Abhyas JEE Main 2020 Solution View → 91

The number of unit cells present in 1 g cube shaped ideal crystal of solid A^ + B^ - (with CCP close packing) (formula mass = 60 ) are

NTA Abhyas JEE Main 2020 Solution View → 92

The edge length of sodium chloride unit cell is 564 pm. If the size of Cl^ - ion is 181 pm. The size of Na^ + ion will be

NTA Abhyas JEE Main 2020 Solution View → 93

Monoclinic sulphur is an example of monoclinic crystal system. What are the characteristics of the crystal system?

NTA Abhyas JEE Main 2020 Solution View → 94

A metal of density 7.5 × 1 0 ^ 3 kg m^ - 3 has an fcc crystal structure with lattice parameter a = 400 pm. Calculate the number of unit cells present in 0.015 kg of the metal.

NTA Abhyas JEE Main 2020 Solution View → 95

Iron crystallizes in body centered cubic system with edge length 2.86Å . The density of iron is nearly 'X' g/ml. What is the value of 'X' here? Report your answer by rounding it

NTA Abhyas JEE Main 2020 Solution View → 96

The efficiency of packing in the case of a metal crystal for face-centered cubic is

NTA Abhyas JEE Main 2020 Solution View → 97

Perovskite is a mineral composed of Ca, Ti and oxygen, cations of titanium lie at the centre, oxides ions at the face centres and calcium ions lie at corners. In this compound the

NTA Abhyas JEE Main 2020 Solution View → 98

A compound formed by elements X and Y crystallises in in a cubic structure in which atoms X are at the corners of the cube and atoms Y are at two non-adjacent face-centres. The

NTA Abhyas JEE Main 2020 Solution View → 99

In a solid, oxide ions are arranged in ccp. Cations 'A' occupy one-sixth of the tetrahedral voids and cations 'B' occupy one-third of the octahedral voids. Which of the following

NTA Abhyas JEE Main 2020 Solution View → 100

An element P (atomic weight = 80 g/mol) having fcc structure, calculate number of unit cells in 8 gm of P

NTA Abhyas JEE Main 2020 Solution View → 101

Semiconductors have a conductivity range of 1 0 ^ - 6 to 1 0 ^ n oh m ^ - 1 m ^ - 1 . What is the value of n here?

NTA Abhyas JEE Main 2020 Solution View → 102

Calcium crystallizes in a face centred cubic unit cell with a =0.560nm. & The density of the metal if it contains 0.1% schottky defects would be:

NTA Abhyas JEE Main 2020 Solution View → 103

The bond structure in n-type semiconductor is

NTA Abhyas JEE Main 2020 Solution View → 104

How many units of NaCl is present per unit cell of NaCl?

NTA Abhyas JEE Main 2020 Solution View → 105

X = 5Å Y = 8Å Molar mass of solid = 259.8g mo ^ - 1 A solid crystallises in hexagonal lattice as shown in above figure. Density of the solid is 5 g/ml . How many molecules are

NTA Abhyas JEE Main 2020 Solution View → 106

Edge length of face centred cubic unit cell of an ionic solid AB is 508 pm. If the radius of A ^ + ion is 110 pm, the radius of B ^ - ion in pm will be

NTA Abhyas JEE Main 2020 Solution View → 107

An element crystallizes both in fcc and bcc lattice. If the density of the element in the two forms is the same, the ratio of unit cell length of fcc to that of bcc lattice is

NTA Abhyas JEE Main 2020 Solution View → 108

A mineral has molecular formula X Y _ 2 O _ 4 . O^ 2 - ions are arranged in ccp and cations of X are present in octahedral voids. Cations of Y are equally distributed among

NTA Abhyas JEE Main 2020 Solution View → 109

Which of the following expression is correct for packing fraction of NaCl if a^ - ions from one face and one diagonal are removed?

NTA Abhyas JEE Main 2020 Solution View → 110

The volume of atoms ( radiusr ) present in fcc unit cell of metal is :

NTA Abhyas JEE Main 2020 Solution View → 111

On breaking a cubic solid (edge = 1 m) into fine cubic particles of edge 1 , surface becomes n × 100000 . The value of n is?

NTA Abhyas JEE Main 2020 Solution View → 112

A crystalline solid is made of X, Y and Z. Atoms of X are present in ccp lattice; Y occupies all the octahedral voids and Z occupies all the tetrahedral voids. If all atoms along

NTA Abhyas JEE Main 2020 Solution View → 113

A solid AB has NaCl type structure with edge length 580. 4pm. The radius of A^ + is 100pm. What is the radius of B^ - in pm?

NTA Abhyas JEE Main 2020 Solution View → 114

How many unit cells are present in a cube shaped ideal crystal of NaCl of mass 1.00 g ?

NTA Abhyas JEE Main 2020 Solution View → 115

Band theory predicts that magnesium is an insulator. However, in practice it acts as a conductor due to

NTA Abhyas JEE Main 2020 Solution View → 116

In a solid 'AB' having rock salt arrangement (NaCl structure), 'A' atoms occupy the corners and face center of the cubic unit cell. 'B' atoms occupies all octahedral voids of the

NTA Abhyas JEE Main 2020 Solution View → 117

Calculate the density (in kg m ^ - 3 ) of potassium hving a bcc structure with nearest neighbour distance of 4.52Å . (Given atomic weight of potassium is 39)

NTA Abhyas JEE Main 2020 Solution View → 118

The spinel structure consists of an array of O^ 2 - ions in fcc arrangement. General formula of spinel is A B _ 2 O _ 4 . Cations of A occupy 1/8th the tetrahedral voids and

NTA Abhyas JEE Main 2020 Solution View → 119

Calculate the number of unit cells present in a cube-shaped ideal crystal of NaCl of mass 1.00g [Atomic masses: Na = 23, Cl = 35.5 ]

NTA Abhyas JEE Main 2020 Solution View → 120

In a cubic packed structure of mixed oxides, the lattice is made up of oxide ions, one fifth of tetrahedral voids one occupied by X ions while one half of the octahedral voids are

NTA Abhyas JEE Main 2020 Solution View →
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