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Solid State - DPP 01 - Prayas JEE AIR 2024

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Prayas JEE AIR 2024


Solid State DPP-01

1. The unit cell with crystallographic dimensions 7. Which of the following is correct ?
a = b  c,  =  =  = 90° is Crystal Axial Axial Examples
(A) Cubic (B) Tetragonal System Distance Angle
(C) Monoclinic (D) Hexagonal (A) Cubic a  b = c  =    Cu, KCl
= 90°
2. If three elements X, Y & Z crystallized in cubic (B) Monoclinic a  b = c  =  =  PbCrO2,
solid lattice with X atoms at corners, Y atoms at = 90° PbCrO4
cube centre & Z-atoms at the edges, then the (C) Rhombohed a = b = c  =  =  CaCO3,
formula of the compound is :  90° HgS

(A) XYZ (B) XY3Z (D) Triclinic a = b = c    =  K2Cr2O7,


(C) XYZ3 (D) X3YZ  90° CuSO4,
5H2O

3. In a cubic unit cell, seven of the eight corners are


occupied by atoms A and centres of faces are 8. In a hexagonal crystal:
occupied by atom B. The general formula of the (A)  =  =   90°; a = b = c
compound is : (B)  =  =  = 90°; a = b  c
(A) A7B6 (B) A7B12 (C)  =  =  = 90°; a  b  c
(C) A7B24 (D) A24B7 (D)  =  = 90°,  = 120º; a = b  c

4. The volume occupied by an atoms in a simple cubic 9. A body centered cubic lattice is made up of hollow
unit cell is – spheres of B. Spheres of solid A are present in
4a 3 hollow spheres of B. Radius of A is half of radius
(A) a3 (B)
3 of 6. What is the ratio of total volume of spheres of
a 3
3 B unoccupied by A in a unit cell and volume of unit
(C) (D)
6 8 cell?
7 3 7 3
(A) (B)
5. The packing fraction in simple cubic lattice is 64 128
1 2 7.
(A)  (B)  (C) (D) None of these
6 6 24
3 1
(C)  (D)  10. First three nearest neighbour distances for primitive
8 2
cubic lattice are respectively (edge length of unit
6. Total volume of atoms presents in a face centered cell = a):
cubic unit cell of a metal is (r is atomic radius) (A) a, 2a, 3a
20 3 24 3 (B) 3a, 2a,a
(A) r (B) r
3 3
(C) a, 2a, 2a
12 3 16 3
(C) r (D) r (D) a, 3a, 2a
3 3
2

11. First three nearest neighbour distances for body 12. Given : The unit cell structure of compound is
centered cubic lattice are respectively: shown below.
(A) 2a,a, 3a
a
(B) ,a, 3a
2
3a
(C) ,a, 2a
2
3a
(D) ,a, 3a
2 The formula of compound is:
(A) A8B12C5 (B) AB2C3
(C) A2B2C5 (D) ABC5
3

Answer Key
1. (B) 7. (C)
2. (C) 8. (D)
3. (C) 9. (D)
4. (C) 10. (A)
5. (A) 11. (C)
6. (C) 12. (B)

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