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Solid State · Question 34

AIPMT 2008MCQEasy📈 Topic in 12% papers+4−1
1

If a stands for the edge length of the cubic systems: simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively

  1. 12a : 32a : 22a
  2. 1a : 3a : 2a
  3. 12a : 34a : 12 2a
  4. 12a : 3a : 1 2a

Answer

(3) 12a : 34a : 12 2a

Solution

Simple cubic: spheres touch along the edge.

a = 2r ⇒ r = 12a

Body centred cubic: spheres touch along the body diagonal.

3a = 4r ⇒ r = 34a

Face centred cubic: spheres touch along the face diagonal.

2a = 4r ⇒ r = 24a = 12 2a

∴ Ratio = 12a : 34a : 12 2a

Answer: (3)

Out of syllabusAIPMT 2008

Keep practising — Solid State

2

For a cubic crystal structure which one of the following relations indicating the cell characteristics is correct?

  1. a b c and = = = 90
  2. a = b = c and = 90
  3. a = b = c and = = = 90
  4. a b c and and = 90
AIPMT 2007
3

The fraction of total volume occupied by the atoms present in a simple cubic unit cell is

  1. 3 2
  2. 4 2
  3. 4
  4. 6
Out of syllabusAIPMT 2007
4

If NaCl is doped with 10-4 mol% of SrCl2, the concentration of cation vacancies will be (NA = 6.02 1023 mol-1)

  1. 6.02 1016 mol-1
  2. 6.02 1017 mol-1
  3. 6.02 1014 mol-1
  4. 6.02 1015 mol-1
Out of syllabusAIPMT 2007
5

The appearance of colour in solid alkali metal halides is generally due to

  1. interstitial positions
  2. F-centres
  3. Schottky defect
  4. Frenkel defect
Out of syllabusAIPMT 2006
6

CsBr crystallises in a body centered cubic lattice. The unit cell length is 436.6 pm. Given that the atomic mass of Cs = 133 and that of Br = 80 amu and Avogadro number being 6.02 1023 mol-1, the density of CsBr is

  1. 4.25 g/cm3
  2. 42.5 g/cm3
  3. 0.425 g/cm3
  4. 8.25 g/cm3
Out of syllabusAIPMT 2006
7

Copper has face centered cubic (fcc) lattice with interatomic spacing equal to 2.54 A. The value of lattice constant for this lattice is

  1. 2.54 A
  2. 3.59 A
  3. 1.27 A
  4. 5.08 A
AIPMT 2005
8

In a face-centered cubic lattice, a unit cell is shared equally by how many unit cells?

  1. 2
  2. 4
  3. 6
  4. 8
Out of syllabusAIPMT 2005
9

A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the corners of a cube and the Y atoms are at the face-centers. The formula of the compound is :-

  1. XY3
  2. X3Y
  3. XY
  4. XY2
Out of syllabusAIPMT 2004
10

The pyknometric density of sodium chloride crystal is 2.165 103 kg m-3 while its X-ray density is 2.178 103 kg m-3. The fraction of unoccupied sites in sodium chloride crystal is

  1. 5.96
  2. 5.96 10-2
  3. 5.96 10-1
  4. 5.96 10-3
Out of syllabusAIPMT 2003
11

Number of atoms per unit cell in B.C.C. is

  1. 9
  2. 4
  3. 2
  4. 1
AIPMT 2002

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