MHT CET Solid State Mock Test 2026 | Free Chemistry Online Quiz

MHT CET Solid State Mock Test

Instructions:

• Total Questions: 20 MCQs
• Time Limit: 20 Minutes
• No negative marking.
• Do not refresh the page.

Solid State Test

20:00

Test Result

0/20

1. In a body-centered cubic (bcc) unit cell, the number of atoms per unit cell is:

a) 1

b) 2

c) 4

d) 6

Solution: BCC has atoms at 8 corners (1/8 contribution) + 1 body center (1 contribution) = 2 atoms.

2. Which of the following is an amorphous solid?

a) Graphite

b) Quartz glass (SiO2)

c) Chrome alum

d) Silicon carbide

Solution: Quartz glass is an amorphous solid.

3. The coordination number in hexagonal close-packed (hcp) structure is:

a) 12

b) 8

c) 6

d) 4

Solution: In HCP and CCP, coordination number is 12.

4. The percentage of empty space in a BCC arrangement is:

a) 74%

b) 68%

c) 32%

d) 26%

Solution: Packing efficiency is 68%. Empty space = 100 - 68 = 32%.

5. Schottky defect is observed in crystals when:

a) Only cation is missing

b) Only anion is missing

c) Equal number of cations and anions are missing

d) Ion moves to interstitial site

Solution: Schottky defect involves missing pairs of cations and anions.

6. Element N forms ccp lattice, and atoms of M occupy 1/3rd of tetrahedral voids. Formula is:

a) M2N3

b) MN3

c) M3N2

d) M2N

Solution: Ratio M:N = (1/3 * 2) : 1 = 2:3. Formula M2N3.

7. BCC element, edge 288 pm, density 7.2 g/cm³. Atoms in 208 g:

a) 12.08 × 10²³

b) 24.16 × 10²³

c) 6.022 × 10²³

d) 3.01 × 10²³

Solution: Calculation yields approx 24.16 × 10²³ atoms.

8. Which crystal does NOT exhibit Frenkel defect?

a) AgBr

b) AgCl

c) KBr

d) ZnS

Solution: KBr (Alkali halide) shows Schottky defect.

9. FCC edge 508 pm, cation radius 110 pm. Anion radius is:

a) 288 pm

b) 398 pm

c) 144 pm

d) 618 pm

Solution: 508 = 2(110 + r). r = 144 pm.

10. To get p-type semiconductor, dope Si with valency:

a) 2

b) 1

c) 3

d) 5

Solution: Group 13 elements (Valency 3) create holes (p-type).

11. Radius ratio 0.414 – 0.732 implies Coordination Number:

a) 4

b) 6

c) 8

d) 12

Solution: Corresponds to Octahedral voids (CN = 6).

12. Color in alkali metal halides is due to:

a) Schottky defect

b) Frenkel defect

c) Interstitial positions

d) F-centers

Solution: F-centers (trapped electrons) cause color.

13. Gold (CCP), radius 144 pm. Edge length is:

a) 288 pm

b) 407 pm

c) 352 pm

d) 505 pm

Solution: a = 2√2r ≈ 407 pm.

14. FCC metal edge 408 pm. Atom diameter is:

a) 288 pm

b) 408 pm

c) 144 pm

d) 204 pm

Solution: Diameter = a/√2 ≈ 288 pm.

15. Ni0.98 O1.00. Fraction of Nickel as Ni²⁺:

a) 96%

b) 98%

c) 50%

d) 94%

Solution: Approx 96% exists as Ni²⁺.

16. Lithium (BCC) side 351 pm. Atomic radius:

a) 152 pm

b) 75 pm

c) 300 pm

d) 240 pm

Solution: r = (√3/4)a ≈ 152 pm.

17. Which statement is INCORRECT?

a) CN in bcc is 8

b) Void space in ccp is 26%

c) CN in hcp is 12

d) Void space in hcp is 32%

Solution: HCP void space is 26%, not 32%.

18. Total volume of atoms in FCC unit cell:

a) 12/3 πr³

b) 16/3 πr³

c) 20/3 πr³

d) 24/3 πr³

Solution: 4 atoms × (4/3 πr³) = 16/3 πr³.

19. Cation moves to interstitial position. Defect is:

a) Interstitial defect

b) Valency defect

c) Frenkel defect

d) Schottky defect

Solution: This is the definition of Frenkel defect.

20. Na (BCC) and Mg (FCC). Atoms per unit cell:

a) 4 and 2

b) 9 and 14

c) 14 and 9

d) 2 and 4

Solution: Na (BCC) has 2, Mg (FCC) has 4.