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Solid State · Question 32

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

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.

Answer

(3) The fraction of the total volume occupied by the atoms in a primitive cell is 0.48.

Solution

In a primitive (simple cubic) cell, Z = 1 and a = 2r:

Fraction occupied = 43 r3(2r)3

= 6

0.524 (52.4%), not 0.48.

As per NCERT, there are 14 Bravais lattices, and molecular solids (weak intermolecular forces) are generally volatile.

Diamond has an fcc arrangement of C atoms with half of the tetrahedral voids also occupied by C, so it has 4 + 4 = 8 C atoms per unit cell; statement (1) is correct.

∴ Statement (3) is the incorrect one.

Answer: (3)

Out of syllabusAIPMT 2008

Keep practising — Solid State

2

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
3

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
4

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
5

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
6

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
7

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
8

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
9

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
10

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
11

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

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