On account of the disruption in education due to the corona pandemic, we're opening up our platform for teachers, free of cost. Know More →

JEE Main

Explore popular questions from Solid State for JEE Main. This collection covers Solid State previous year JEE Main questions hand picked by experienced teachers.

Select Subject

Physics

Chemistry

Mathematics

Solid State

Correct Marks 4

Incorrectly Marks -1

Q 1. A cubic solid is made up of two elements {tex} \mathrm { A } {/tex} and {tex} \mathrm { B } {/tex} . Atoms {tex} \mathrm { B } {/tex} are at the corners of the cube and {tex} \mathrm { A } {/tex} at the body centre. What is the formula of compound?

{tex} \mathrm { AB } {/tex}

B

{tex} \mathrm { AB } _ { 2 } {/tex}

C

{tex} \mathrm { A } _ { 2 } \mathrm { B } {/tex}

D

None

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 2. A compound alloy of gold and copper crystallises in a cubic lattice in which gold occupy that lattice point at corners of the cube and copper atom occupy the centres of each of the cube faces. What is the formula of this compound?

A

{tex} \mathrm { AuCu } _ { 6 } {/tex}

B

{tex} \mathrm { AuCu } {/tex}

{tex} \mathrm { AuCu } _ { 3 } {/tex}

D

None of these

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 3. {tex} \mathrm {KF}{/tex} crystallises in the {tex}\mathrm {NaCl}{/tex} type structure. If the radius of {tex} \mathrm { K } ^ { + } {/tex} ions 132{tex} \mathrm { pm } {/tex} and that of {tex} \mathrm { F^- } {/tex} ion is {tex} 135 \mathrm { pm } , {/tex} what is the closet {tex} \mathrm { K } - \mathrm { K } {/tex} distance?

A

Cannot say

B

534{tex} \mathrm { pm } {/tex}

C

755{tex} \mathrm { pm } {/tex}

378{tex} \mathrm { pm } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 4. AgCl has the same structure as that of NaOH. The edge length of unit cell of AgCl is found to be 555 pm and the density of AgCl is {tex} 5.561 \mathrm { g } \mathrm { cm } ^ { - 3 } . {/tex} Find the percentage of sites that are unoccupied.

0.24{tex} \% {/tex}

B

2.4{tex} \% {/tex}

C

24{tex} \% {/tex}

D

None

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 5. The effective radius of the iron atom is 1.42 {tex}\overset{\circ}{\text{A}}{/tex}. It has fcc structure. Calculate its density (Fe = 56 amu).

A

2.87{tex} \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex}

B

11.48{tex} \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex}

C

1.435{tex} \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex}

5.74{tex} \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex}

Explanation


For fcc,

Correct Marks 4

Incorrectly Marks -1

Q 6. If the anions (A) form hexagonal closest packing and cations (C) occupy only {tex}2 / 3 {/tex} octahedral voids in it, then the general formula of the compound is

A

{tex} \mathrm { CA } {/tex}

B

{tex} \mathrm { CA } _ { 2 } {/tex}

{tex} \mathrm { C } _ { 2 } \mathrm { A } _ { 3 } {/tex}

D

{tex} \mathrm { C } _ { 3 } \mathrm { A } _ { 2 } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 7. A compound XY crystallises in BCC lattice with unit cell edge length of 480{tex} \mathrm { pm } {/tex} . If the radius of {tex} \mathrm { Y } ^ { - } {/tex} is 225 {tex} \mathrm { pm } , {/tex} then the radius of {tex} \mathrm { X } ^ { + } {/tex} is:

A

127.5{tex} \mathrm { pm } {/tex}

190.68{tex} \mathrm { pm } {/tex}

C

225{tex} \mathrm { pm } {/tex}

D

255{tex} \mathrm { pm } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 8. {tex} \mathrm {NH_4 Cl}{/tex} crystallises in a body centred cubic type lattice with a unit cell edge length of 387{tex} \mathrm { pm } {/tex} . The distance between the oppositely charged ions in the lattice is

335.1{tex} \mathrm { pm } {/tex}

B

83.77{tex} \mathrm { pm } {/tex}

C

274.46{tex} \mathrm { pm } {/tex}

D

137.23{tex} \mathrm { pm } {/tex}

Explanation

For bcc structure d=
Here d is the distance between the oppositely charged ions in the lattice and a is the edge length.

Correct Marks 4

Incorrectly Marks -1

Q 9. An element crystallises in a structure having fcc unit cell of an edge 200 pm. Calculate the density, if 200{tex} \mathrm { g } {/tex} of this element contains {tex} 5 \times 10 ^ { 24 } {/tex} atoms.

A

5{tex} \mathrm { m } / \mathrm { cm } ^ { 3 } {/tex}

B

30{tex} \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex}

C

10{tex} \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex}

20{tex} \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 10. If the length of the body diagonal for {tex}CsCl\ {/tex}which crystallises into a cubic structure with {tex}Cl^-{/tex} ions at the corners and {tex}Cs^{+}{/tex}ions at the centre of the unit cells is 7{tex}{\text{Å}}{/tex} and the radius of the {tex}Cs^+{/tex} ion is 1.69 {tex}{\text{Å}}{/tex}. What is the radii of {tex}Cl^-{/tex} ion?

1.81{tex} {\text{Å}} {/tex}

B

5.31{tex} {\text{Å}} {/tex}

C

3.62{tex}{\text{Å}} {/tex}

D

None

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 11. Which of the following formulas is consistent with the unit cell of the rhenium oxide compound shown below?

{tex} \mathrm { Re } _ { 2 } \mathrm { O } _ { 6 } {/tex}

B

{tex} \mathrm { Re } _ { 2 } \mathrm { O } _ { 3 } {/tex}

C

{tex} \mathrm { ReO } _ { 6 } {/tex}

D

{tex} \mathrm {ReO } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 12. The figure below shows a unit cell of the mineral Perovskite (the titanium atom is at the centre of the cube). Which of the following is a correct chemical formula for this mineral?

A

{tex} \mathrm { Ca } _ { 8 } \mathrm { TiO } _ { 6 } {/tex}

B

{tex} \mathrm { CaTiO } {/tex}

C

{tex} \mathrm { Ca } _ { 2 } \mathrm { TiO } _ { 3 } {/tex}

{tex} \mathrm { CaTiO } _ { 3 } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 13. An atomic solid has hexagonal arrangement of unit cell with height of hexagonal (in close packed arrangement) as "{tex}h{/tex}". The radius of atom in terms of height is

A

{tex} \sqrt [ 4 ] { \frac { 2 } { 3 } } h {/tex}

B

{tex} \frac { h } { 4 } \sqrt { \frac { 2 } { 3 } } {/tex}

C

{tex} \frac { h } { 2 } \sqrt { \frac { 3 } { 2 } } {/tex}

{tex} \frac { h } { 4 } \sqrt { \frac { 3 } { 2 } } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 14. Which of the following contains only one Bravais lattice?

Hexagonal

B

Cubic

C

Tetragonal

D

Monoclinic

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 15. If a cation leaves a site in solid lattice, and is located at an interstitial position. The lattice defect is

A

Interstitial defect

B

Schottky defect

C

Valency defect

Frenkel defect

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 16. In a crystalline solid, anion {tex} \mathrm { B } {/tex} are arranged in cubic close packing and cation {tex}\mathrm A{/tex} are equally distributed between octahedral and terahedral voids. If all the octahedral voids are occupied, the formula for the solid is

A

{tex} \mathrm { AB } {/tex}

B

{tex} \mathrm { AB } _ { 2 } {/tex}

{tex} \mathrm { A } _ { 2 } \mathrm { B } {/tex}

D

{tex} \mathrm { A } _ { 2 } \mathrm { B } _ { 3 } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 17. Which of the following has highest number of formula units per unit cell?

A

{tex}\mathrm {NaCl}{/tex} type structure

B

{tex} \mathrm { Na } _ { 2 } \mathrm { O } {/tex} type structure

C

{tex}\mathrm {CaF_2}{/tex} type structure

All have same number of formula unit

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 18. Density of crystal decreases in

Schottky defect

B

Frenkel defect

C

Interstitial defect

D

Metal excess defect

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 19. F-centers are related to

A

fcc center

B

Metal deficiency defect

Anion vacancy defect

D

Face center

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 20. Tetrahedral void is surrounded by four atoms. Which atoms in the given figure are around the tetrahedral void?

A

{tex} 2,3,4 {/tex} and {tex}5{/tex}

B

{tex} 1,3,4,5 {/tex}

{tex} 1,2,3,4 {/tex}

D

{tex} 2,4,5 {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 21. Which of the following is a covalent solid?

A

Dry ice

B

{tex} \mathrm {P _ { 4 } O _ { 10 }} {/tex}

{tex} \mathrm { SiC } {/tex}

D

{tex} \mathrm { NaCl } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 22. {tex} \mathrm { NH } _ { 4 } \mathrm { Cl } {/tex} crystallizes in a body-centered cubic type lattice with a unit cell edge length of {tex}387 \mathrm {pm}{/tex}. The distance between the oppositely charged ions in the lattice is

{tex} 335.1 \mathrm { pm } {/tex}

B

{tex} 83.77 \mathrm { pm } {/tex}

C

{tex} 274.46 \mathrm { pm } {/tex}

D

{tex} 137.23 \mathrm { pm } {/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 23. Quartz on strong heating followed by rapid cooling gives glass which is an amorphous solid because

A

Glass is a super cooled liquid

B

Glass does not have a sharp melting point

Silicate tetrahedral unit are shifted in randomly arranged pattern

D

Glass is a silicate of sodium

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 24. Lithium crystallizes in a body centred cubic lattice, how many next nearest neighbours does each {tex}\mathrm {Li} {/tex} has?

A

{tex}8{/tex}

{tex}6{/tex}

C

{tex}12{/tex}

D

{tex}4{/tex}

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 25. The ionic radii of {tex} \mathrm { Rb } ^ { + } {/tex} and {tex} \mathrm { I } ^ { - } {/tex} are 1.46 and {tex} 2.16 \mathrm {{\text{Å}} } {/tex}. The most probable type of structure exhibited by {tex}\mathrm {RbI}{/tex} is

A

{tex} \mathrm {CsCl}{/tex} type

{tex} \mathrm {NaCl}{/tex} type

C

{tex} \mathrm {ZnS}{/tex} type

D

{tex} \mathrm {CaF_2}{/tex} type

Explanation