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Solid State · Question 16

AIPMT 2015MCQEasy📈 Topic in 12% papers+4−1
1

The vacant space in bcc lattice unit cell is

  1. 48%
  2. 23%
  3. 32%
  4. 26%

Answer

(3) 32%

Solution

In a bcc unit cell, Z = 2 and the atoms touch along the body diagonal: 3 a = 4r

⇒ Packing efficiency = 2 43 r3a3 100

= 2 43 r3 ( 4r 3 )3 100

= 3 8 100 68\%

∴ Vacant space = 100 - 68 = 32\%

Answer: (3)

Out of syllabusAIPMT 2015

Keep practising — Solid State

2

The correct statement regarding defects in crystalline solids is

  1. Frenkel defects decrease the density of crystalline solids
  2. Frenkel defect is a dislocation defect
  3. Frenkel defect is found in halides of alkali metals
  4. Schottky defects have no effect on the density of crystalline solids
Out of syllabusAIPMT 2015
3

A given metal crystallises out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom?

  1. 80 pm
  2. 108 pm
  3. 40 pm
  4. 127 pm
Out of syllabusAIPMT 2015 (Cancelled)
4

If a is the length of the side of a cube, the distance between the body centered atom and one corner atom in the cube will be

  1. 2 3a
  2. 4 3a
  3. 34a
  4. 32a
Out of syllabusAIPMT 2014
5

A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm-3. The molar mass of the metal is (NA Avogadro's constant = 6.02 1023 mol-1)

  1. 27 g mol-1
  2. 20 g mol-1
  3. 40 g mol-1
  4. 30 g mol-1
Out of syllabusNEET 2013
6

The number of carbon atoms per unit cell of diamond unit cell is

  1. 6
  2. 1
  3. 4
  4. 8
Out of syllabusNEET 2013
7

Structure of a mixed oxide is cubic close packed (ccp). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal A and the octahedral voids are occupied by a monovalent metal B. The formula of the oxide is

  1. ABO2
  2. A2BO2
  3. A2B3O4
  4. AB2O2
Out of syllabusAIPMT 2012 (Mains)
8

A metal crystallises with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

  1. 288 pm
  2. 408 pm
  3. 144 pm
  4. 204 pm
Out of syllabusAIPMT 2012 (Prelims)
9

The number of octahedral void(s) per atom present in a cubic close-packed structure is

  1. 1
  2. 3
  3. 2
  4. 4
Out of syllabusAIPMT 2012 (Prelims)
10

A solid compound XY has NaCl structure. If the radius of the cation is 100 pm, the radius of the anion (Y-) will be

  1. 275.1 pm
  2. 322.5 pm
  3. 241.5 pm
  4. 165.7 pm
Out of syllabusAIPMT 2011 (Mains)
11

AB crystallizes in a body centred cubic lattice with edge length 'a' equal to 387 pm. The distance between two oppositely charged ions in the lattice is

  1. 335 pm
  2. 250 pm
  3. 200 pm
  4. 300 pm
Out of syllabusAIPMT 2010 (Prelims)

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