The radius of $\mathrm{Li}^{+}$ion is $60 \mathrm{~pm}$ and that of $\mathrm{F}^{-}$is $136 \mathrm{~pm}$. Structure of $\mathrm{LiF}$ and coordination number is

Like $\mathrm{CsCl}, \mathrm{C} . \mathrm{Na}=8$

nti fluoride, $\mathrm{C} . \mathrm{No} .=8$

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JEE • CHEMISTRY • SOLID STATE

Solid state practice · Medium

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These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 1-30 of 98 questions

1 Medium

1 of 98

Analyzing +4 | -1

Consider a body centred cubic (BCC) arrangement, let

\mathrm{d}_{\mathrm{e}}

\mathrm{d}_{\mathrm{fd}}, \mathrm{d}_{\mathrm{bd}}

be the distances between successive atoms located along the edge, the face-diagonal, the body diagonal respectively in a unit cell. Their order is given by -

View answer and explanation

Correct option: C

\mathrm{d}_{\mathrm{fd}}>\mathrm{d}_{\mathrm{e}}>\mathrm{d}_{\mathrm{fd}}

Option D (d_bd > d_e > d_fd) is incorrect. The correct order is d_fd > d_e > d_bd because the face diagonal is longer than the edge, which is longer than the body diagonal when considering successive atoms.

2 Medium

2 of 98

Understanding +4 | -1

The following is not a function of an impurity present in a crystal

View answer and explanation

Correct option: A

Establishing thermal equilibrium

Option A (Establishing thermal equilibrium) is correct because impurities do not directly contribute to establishing thermal equilibrium in a crystal.

3 Medium

3 of 98

Remembering +4 | -1

Which has no elements of symmetry?

View answer and explanation

Correct option: D

Triclinic

The correct answer is D (Triclinic) because the triclinic crystal system has no elements of symmetry, meaning it lacks rotational axes, mirror planes, and a center of inversion.

4 Medium

4 of 98

Understanding +4 | -1

In a face centred cubic cell, an atom at the face contributes to the unit cell

View answer and explanation

Correct option: B

\frac{1}{2}\;part

Option B is correct because in a face-centered cubic (FCC) unit cell, an atom located at the face center is shared by two unit cells, thus contributing only 1/2 to each unit cell.

5 Medium

5 of 98

Application +4 | -1

The radius of

\mathrm{Li}^{+}

ion is

60 \mathrm{~pm}

and that of

\mathrm{F}^{-}

136 \mathrm{~pm}

. Structure of

\mathrm{LiF}

and coordination number is

View answer and explanation

Correct option: A

\mathrm{NaCl}, \mathrm{C} . \mathrm{No} .=6

Option A (Like

\mathrm{NaCl}, \mathrm{C} . \mathrm{No} .=6

) is correct because the radius ratio falls within the range that favors an

\mathrm{NaCl}

structure with a coordination number of 6.

6 Medium

6 of 98

Remembering +4 | -1

In which pair most efficient packing is present

View answer and explanation

Correct option: B

hcp and ccp

Option B (hcp and ccp) is correct because both hexagonal close-packed (hcp) and cubic close-packed (ccp) structures have the highest packing efficiency of 74%.

7 Medium

7 of 98

Understanding +4 | -1

For an ionic crystal of the general formula

AX

and coordination number 6, the value of radius ratio will be

View answer and explanation

Correct option: A

in between 0.732 and 0.414

Option A (in between 0.732 and 0.414) is correct because a coordination number of 6 corresponds to an octahedral geometry, which has a radius ratio range of 0.414 - 0.732.

8 Medium

8 of 98

Understanding +4 | -1

Select the incorrect statement

View answer and explanation

Correct option: D

Density of crystal always increases due to substitutional impurity defect

Option C (

1{s^2},2{s^2}2{p^6},3{s^2}3{p^6}3{d^{10}},4{s^2}4{p^6}4{d^{10}},5{s^2}5{p^6}

) is correct because it represents a complete octet in the outermost shell, characteristic of noble gases.

9 Medium

9 of 98

Application +4 | -1

An alloy of copper, silver and gold is found to have copper constituting the ccp lattice. If silver atoms occupy the edge centres and gold is present at body centre, the alloy has a formula

View answer and explanation

Correct option: C

\mathrm{C}{\mathrm{u}_4}\mathrm{A}{\mathrm{g}_3}\mathrm{Au}

Option C (

\mathrm{C}{\mathrm{u}_4}\mathrm{A}{\mathrm{g}_3}\mathrm{Au}

) is correct because the ratio of Cu, Ag, and Au atoms in the alloy is 4:3:1 based on their positions in the ccp lattice.

10 Medium

10 of 98

Remembering +4 | -1

Which type of crystal system contain only one Bravais lattice?

View answer and explanation

Correct option: A

Hexagonal

Option A (Hexagonal) is correct because the hexagonal crystal system has only one Bravais lattice, which is the primitive unit cell.

11 Medium

11 of 98

Application +4 | -1

A compound is formed by two elements

X

and

Y.

Atoms of the element

Y

(as anions) make ccp and those of the element

X

(as cations) occupy all the octahedral voids.
What is the formula of the compound ?

View answer and explanation

Correct option: A

XY

Option A (

XY

) is correct because the number of octahedral voids in a ccp lattice is equal to the number of atoms in the lattice, leading to a 1:1 ratio between X and Y.

12 Medium

12 of 98

Remembering +4 | -1

Germanium can be made n-type semiconductor by doping with

View answer and explanation

Correct option: B

Arsenic

Option B (Arsenic) is correct because doping germanium with a pentavalent element like arsenic creates an n-type semiconductor.

13 Medium

13 of 98

Application +4 | -1

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 formula of the compound?

View answer and explanation

Correct option: A

X_{2} Y_{3}

Option A (

X_2Y_3

) is correct because if Y forms ccp, X occupies 1/3 of tetrahedral voids, leading to the formula

X_2Y_3

14 Medium

14 of 98

Analyzing +4 | -1

What is common in HCP and FCC unit cell?

View answer and explanation

Correct option: D

None of these

The correct answer is D (None of these) because there is nothing common between HCP and FCC unit cells from the given options.

15 Medium

15 of 98

Application +4 | -1

Which of the following combination gives

{AB}_2 {O}_4

type structure?

View answer and explanation

Correct option: D

Oxide ions at CCP,

A

ions at

\frac{1}{8}

th of tetrahedral voids and

B

ions at

\frac{1}{2}

of octahedral voids

The correct answer is "Oxide ions at CCP,

A

ions at

\frac{1}{8}

th of tetrahedral voids and

B

ions at

\frac{1}{2}

of octahedral voids" because this arrangement leads to the

AB_2O_4

stoichiometry.

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16 Medium

16 of 98

Remembering +4 | -1

The first co-ordination number of

C{s^ + }

in CsCl lattice is

View answer and explanation

Correct option: B

Option B (8) is correct because in a CsCl lattice, each

Cs^+

ion is surrounded by 8

Cl^-

ions, and vice versa, forming a body-centered cubic (BCC) structure.

17 Medium

17 of 98

Remembering +4 | -1

Which of the following is an example of ferrimagnetic substance?

View answer and explanation

Correct option: D

F{e_3}{O_4}

Option D (Fe3O4) is correct because Fe3O4 (magnetite) is a well-known example of a ferrimagnetic substance.

18 Medium

18 of 98

Understanding +4 | -1

The sharp melting point of crystalline solids is due to

View answer and explanation

Correct option: B

a regular arrangement of constituent particles observed over a long distance in the crystal lattice.

Option B is correct because the sharp melting point of crystalline solids is due to the regular arrangement of constituent particles observed over a long distance in the crystal lattice.

19 Medium

19 of 98

Analyzing +4 | -1

Incorrect statement about

{NaCl}

crystal structure is

View answer and explanation

Correct option: D

Coordination number of each

{Na}^{+}

and

{Cl}^{-}

are eight

The correct answer is D (Coordination number of each Na⁺ and Cl⁻ are eight) because in the NaCl crystal structure, the coordination number of each Na⁺ and Cl⁻ ion is 6, not 8.

20 Medium

20 of 98

Remembering +4 | -1

The correct option for the number of body centred unit cells in all 14 types of Bravais lattice unit cells is:

View answer and explanation

Correct option: B

Option B (3) is correct because body-centered unit cells are present in cubic, tetragonal, and orthorhombic crystal systems, totaling three.

21 Medium

21 of 98

Understanding +4 | -1

The ratio of cationic radius to anionic radius in an ionic crystal is greater than 0.732. Its coordination number is

View answer and explanation

Correct option: D

Option D (8) is correct because a radius ratio greater than 0.732 indicates a coordination number of 8, corresponding to a body-centered cubic structure.

22 Medium

22 of 98

Application +4 | -1

An element

X

(Atomic weight

=96 \,{u}

) having

FCC

structure. The number of unit cells in

9.6 \,{~g}

X

View answer and explanation

Correct option: D

0.025 \,{~N}_{A}

Option D (

0.025 {~N}_{{A}}

) is correct because it is the number of unit cells in 9.6 g of element X with FCC structure, calculated by determining the number of moles and dividing by the number of atoms per unit cell in FCC.

23 Medium

23 of 98

Remembering +4 | -1

Frenkel defect is found in crystals in which the radius ration is

View answer and explanation

Correct option: C

Very low

Option C (Very low) is correct because Frenkel defects occur when the radius ratio is very low, allowing the smaller ion to occupy an interstitial site.

24 Medium

24 of 98

Remembering +4 | -1

Which primitive unit cell has unequal edge lengths

(a \ne b \ne c)

and all axial angles different from

{90^ \circ }

View answer and explanation

Correct option: D

Triclinic

Option D (Triclinic) is correct because the triclinic unit cell is characterized by unequal edge lengths (

a \ne b \ne c

) and all axial angles different from 90 degrees (

\alpha \ne \beta \ne \gamma \ne 90^\circ

25 Medium

25 of 98

Analyzing +4 | -1

Analysis shows that an oxide ore of nickel has formula

\mathrm{N}{\mathrm{i}_{0.98}}{\mathrm{O}_{1.00}}

. The percentage of nickel as

\mathrm{N}{\mathrm{i}^{3 + }}

ions is nearly

View answer and explanation

Correct option: C

Option C (4) is correct because the percentage of Ni as Ni

^{3+}

is calculated based on charge balance to maintain neutrality of the compound.

26 Medium

26 of 98

Analyzing +4 | -1

Statement I:

NiO

is expected to have more defects than

NaCl

.

Statement II:

NaCl

is an ionic compound.

View answer and explanation

Correct option: B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

Option B (Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I) is correct because both statements are true, but the ionic nature of NaCl doesn't directly explain why NiO has more defects.

27 Medium

27 of 98

Remembering +4 | -1

Which of the following has Frenkel defects?

View answer and explanation

Correct option: C

Silver bromide

Option C (Silver bromide) is correct because AgBr exhibits Frenkel defects due to the significant size difference between Ag+ and Br- ions.

28 Medium

28 of 98

Remembering +4 | -1

Total number of Bravais lattices is

View answer and explanation

Correct option: D

Option D (14) is correct because there are 14 Bravais lattices in three-dimensional space.

29 Medium

29 of 98

Application +4 | -1

A solid is made of two elements

X

and

Z

. The atoms

Z

are in ccp arrangement while the atom

X

occupy all the tetrahedral sites. What is the formula of the compound?

View answer and explanation

Correct option: C

{X_2}Z

Option C (

{X_2}Z

) is correct because the ratio of X to Z atoms is 2:1, based on Z occupying ccp and X occupying all tetrahedral sites.

30 Medium

30 of 98

Application +4 | -1

A substance

{A_X}{B_Y}

crystallises in a face centred cubic (fcc) lattice in which atoms

'A'

occupy each corner of the cube and atoms

'B'

occupy the centres of each face of the cube. Identify the correct composition of the substance

{A_X}{B_Y}

View answer and explanation

Correct option: A

A{B_3}

Option A (

A{B_3}

) is correct because the number of atoms of A and B in the unit cell are calculated based on their positions in the FCC lattice, giving a ratio of 1:3.

Revision notes and key takeaways

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Key Takeaways

✓ This set contains 98 single-correct-answer MCQs on SOLID STATE.
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