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Solid State · Question 31

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

Percentage of free space in a body centred cubic unit cell is

  1. 34%
  2. 28%
  3. 30%
  4. 32%

Answer

(4) 32%

Solution

In a bcc unit cell, Z = 2 and the atoms touch along the body diagonal:

3a = 4r ⇒ r = 34a

Packing efficiency = 2 43 r3a3 100

= 3 8 100

68\%

∴ Free space = 100\% - 68\% = 32\%

Answer: (4)

Out of syllabusAIPMT 2008

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2

Which of the following statements is not correct?

  1. The number of carbon atoms in a unit cell of diamond is 8
  2. The number of Bravais lattices in which a crystal can be categorized is 14
  3. The fraction of the total volume occupied by the atoms in a primitive cell is 0.48.
  4. Molecular solids are generally volatile.
Out of syllabusAIPMT 2008
3

With which one of the following elements silicon should be doped so as to give p-type of semiconductor?

  1. Selenium
  2. Boron
  3. Germanium
  4. Arsenic
Out of syllabusAIPMT 2008
4

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
Out of syllabusAIPMT 2008
5

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
6

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
7

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
8

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
9

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
10

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
11

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

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