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Solid State · Question 39

AIPMT 2006MCQMedium📈 Topic in 12% papers+4−1
1

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

Answer

(1) 4.25 g/cm3

Solution

In the CsBr unit cell, Cs+ is at the body centre and Br- ions are at the 8 corners.

⇒ Number of Br- = 8 18 = 1, number of Cs+ = 1

∴ Z = 1 formula unit of CsBr per unit cell

M = 133 + 80 = 213 g mol-1

a = 436.6 pm = 4.366 10-8 cm

a3 = (4.366 10-8)3 = 8.322 10-23 cm3

d = Z Ma3 NA

= 1 2138.322 10-23 6.02 1023

= 21350.10

= 4.25 g/cm3

Answer: (1)

Out of syllabusAIPMT 2006

Keep practising — Solid State

2

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
3

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
4

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
5

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
6

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

  1. 9
  2. 4
  3. 2
  4. 1
AIPMT 2002
7

When Zn converts from melted state to its solid state, it has hcp structure, then find the number of nearest atoms.

  1. 6
  2. 8
  3. 12
  4. 4
Out of syllabusAIPMT 2001
8

The cations and anions are arranged in alternate form in

  1. metallic crystal
  2. ionic crystal
  3. covalent crystal
  4. semi-conductor crystal
AIPMT 2000
9

Cations and anions combine in a crystal to form the following type of compound

  1. ionic
  2. metallic
  3. covalent
  4. dipole-dipole
Out of syllabusAIPMT 2000
10

In a cubic crystal, A-atoms are placed at every corner and B-atoms at the centre of every face. The formula of the compound is

  1. AB
  2. AB3
  3. A2B2
  4. A2B3
Out of syllabusAIPMT 2000

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