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Solid State — JEE Main & Advanced Chemistry PYQs

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

255 questionsChemistrySolutions on every page
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 amu

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 edge

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 4 Å . The radius of sodium atom is _ _ _ × 10 - 1 Å . (Nearest integer)

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

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

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

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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 form

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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

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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.

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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 of metal i

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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 . 0 g cm - 3 , then the number of FeO uni

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A metal M forms hexagonal close-packed structure. The total number of voids in 0 . 02 mol 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 empirical

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 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for B - . A

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 , densit

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

JEE Main 2022 Solution View → 19

The incorrect statement about the imperfections in solids is

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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. The per

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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 weight of B .

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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 th

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The distance between Na + and Cl - ions in solid NaCl of density 43 . 1 g 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)

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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 (packin

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 answe

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) Fe

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 pres

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) Amorp

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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 subst

JEE Main 2021 Solution View → 31

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

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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 1 g of KBr crystal is 10 14 . (Round off to the Nearest Integer). [Atomic Mass : K = 39 . 1 u ,

JEE Main 2021 Solution View → 38

Ga (atomic mass 70 u ) crystallizes in a hexagonal close packed structure. The total number of voids in 0 . 581 g 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 A o . 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 . 596 Å with one copper atom at each lattice point. The calculated density of copper in kg / m 3 i

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 stat

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 octahedr

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 300 pm . The density of the molecule is 6 . 17 gcm - 3 . The number of molecules present in 2

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 405 pm . If its density is 2 . 7 × 10 3 kg m - 3 , the radius of

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 .00 g ?

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 tot

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 g m o l - 1 and density is 3 .3 g/cc ,

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 dia

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 un

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The radii of N a + and C l - ions are 95 pm and 181 pm respectively. The edge length of N a C l unit cell is

NTA Abhyas JEE Main 2020 Solution View → 59

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

NTA Abhyas JEE Main 2020 Solution View → 60

r N a + = 195 p m and r C l - = 281 p m in N a C l (rock salt) structure. What is the shortest distance between N a + 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 be:

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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 Fran

NTA Abhyas JEE Main 2020 Solution View → 63

A metallic element exists in cubic lattice. Each edge of unit cell is 4 A o The density of metal is 6 .25 g /m 3 . How many unit cells will be present in 100 g of metal?

NTA Abhyas JEE Main 2020 Solution View → 64

The radius ratio of K F is 0.98. The structure of K F 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 of the co

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

T l A l S O 4 2 . x H 2 O is bcc with edge length ‘ a ’ = 1.22 n m . If the density of the solid is 2.32 g / c c , 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 A o respectively. Calculate the ratio of densi

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 havi

NTA Abhyas JEE Main 2020 Solution View → 70

The metal M crystallizes in a body cantered lattice with cell edge 400 pm . 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 119 g having face centered cubic structure with unit cell length 6 .58 Å 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 250 pm , 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 F e F 6 3 - and C o 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 .5 g of N a C l 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. The

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 B r − 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 2.75 g c m - 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 2

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 numb

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 lattice

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 8570 k g / m 3 . The packing efficiency is 0.68. The closest distance of approach between neighbouring atom is 2.86 Å . What is the mass in am

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 C a 2 + and F - ion in calcium fluoride C a 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 C l - ion is 181 pm. The size of N a + 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 .86 Å . 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 for

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 i

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 o h 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 .560 nm . 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 = 5 Å Y = 8 Å Molar mass of solid = 259.8 g mo l - 1 A solid crystallises in hexagonal lattice as shown in above figure. Density of the solid is 5 g/ml . How many molecules are t

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 octahedral a

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 ( r a d i u s r ) 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 μ m , 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 a

NTA Abhyas JEE Main 2020 Solution View → 113

A solid AB has NaCl type structure with edge length 580 . 4 p m . The radius of A + is 100 p m . 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 ( N a C l structure), 'A' atoms occupy the corners and face center of the cubic unit cell. 'B' atoms occupies all octahedral voids of t

NTA Abhyas JEE Main 2020 Solution View → 117

Calculate the density (in k g m - 3 ) of potassium hving a b c c structure with nearest neighbour distance of 4.52 Å . (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 cations of

NTA Abhyas JEE Main 2020 Solution View → 119

Calculate the number of unit cells present in a cube-shaped ideal crystal of N a C l of mass 1.00 g [Atomic masses: N a = 23 , C l = 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

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