# [Free] IIT JAM Physics Test Series 2023 : Solid State Physics – (Crystal Structure)

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Now In this Post of IIT JAM Physics Test Series, you will get a test of the topic Crystal Structure of Chapter Solid State Physics. There are total 15 Questions given below also Answers are attached at the end of the test so that you can verify your answers after completing the test. So, Practice these Questions and Do your Best. Also Solve IIT JAM Physics Previous Year Question Paper. And Don’t Forget to Share with Your Friends.

## [Free] IIT JAM Physics Test Series 2023 : Solid State Physics – (Crystal Structure)

Q1. Which of the following statements is correct for NaCl crystal structure?

• (A) It is a simple cubic lattice with one atom basis.
• (B) It is a face-centered cubic lattice with one atom basis
• (C) It is a simple cubic lattice with two atom basis
• (D) It is a face-centered cubic lattice with two atom basis.

Q2. The ratio of the second-neighbour distance to the nearest-neighbour distance to the nearest-neighbour distance in an FCC lattice is

• (A) 2√2
• (B) 2
• (C) √3
• (D) √2

Q3. The fraction of volume unoccupied in the unit cell of the body centered cubic lattice is

• (A) (8-√3π)/8
• (B) √3π/8
• (C) (6-√3π)/
• (D) π/(3√2)

Q4. Diamond lattice can be considered as a combination of two fcc lattices displaced along the body diagonal by one quarter of its length. There are eight atoms per unit cell. The packing fraction of the diamond structure is

• (A) 0.48
• (B) 0.74
• (C) 0.34
• (D) 0.68

Q5. Miller indices of a plane in cubic structure that contains all the directions ,  and  are

• (A) (011)
• (B) (101)
• (C) (100)
• (D) (110)

Q6. A plane in a cubic lattice makes intercepts of a, a/2 and 2a/3 with the three crystallographic axes, respectively. The Miller indices for this plane are

• (A) (2 4 3)
• (B) (3 4 2)
• (C) (6 3 4)
• (D) (1 2 3)

Q7. Metallic Copper is known to form cubic crystals and the lattice constant is measured from X-ray diffraction studies to be about 0.36 nm. If the specific gravity of Copper is 8.96 and its atomic weight is 63.5, one can conclude that

• (A) the crystals are of simple cubic type
• (B) the crystals are of b.c.c. type
• (C) the crystals are of f.c.c. type
• (D) the crystals are a mixture of f.c.c. and b.c.c. types

Q8. In a simple cubic lattice of lattice constant 0.287 nm, the number of atoms per mot along the 111 plane is

• (A) 2.11 × 1013
• (B) 1.73 × 1013
• (C) 1.29 × 1013
• (D) 1.21 × 1013

Q9. Helium atoms at low temperatures make a perfect closed pack structure of hexagonal lattice with parameters a = 0.36 nm and c = 0.59 nm. The density of the crystal is approximately

• (A) 2000 kg/m
• (B) 100 kg/m3
• (C) 123 kg/m
• (D) 200 kg/m3

Q10. Consider a regular arrangement of identical spheres in a face-centred cubic (fcc) structure in which the centres of the respective spheres are located at each of the eight corners and the centres of the six surfaces of a unit cube. The fraction of each cubic unit cell occupied by the spheres in the close-pack configuration is

• (A) 0.50
• (B) 0.62
• (C) 0.74
• (D) 0.88

Q11. The density of copper, which has a face-centred cubic (fcc) lattice structure, is 8.9 gm/cm’. Given that the molar mass of copper is 63.55, the length of a side of the cubic cell is

• (A) 0.45 nm
• (B) 0.57 nm
• (C) 0.29 nm
• (D) 0.36 nm

Q12. The reciprocal lattice of an hexagonal crystal is

• (A) fcc
• (B) bcc
• (C) hexagonal
• (D) orthorhombic

Q13. Which of the following metals crystallizes in f.c.c. structure ?

• (A) Aluminium
• (B) Zinc
• (C) Sodium
• (D) Caesium chloride

Q14. The Miller indices of the plane parallel to the x and y axes are

• (A) (1 0 0)
• (B) (0 1 0)
• (C) (0 0 1)
• (D) (1 1 1)

Q15. NaCl crystal has the following structure

• (A) simple cubic
• (B) face-centred
• (C) cubic body-centred
• (D) cubic hexagonal

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