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Solid State · Question 19

AIPMT 2014MCQEasy📈 Topic in 0% papers+4−1
1

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

Answer

(4) 32a

Solution

The body centre lies at the mid-point of the body diagonal of the cube.

Body diagonal = a2 + a2 + a2 = 3a

∴ Distance between the body-centred atom and a corner atom = 12 3a = 32a

Answer: (4)

Out of syllabusAIPMT 2014

Keep practising — Solid State

2

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
3

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
4

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)
5

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)
6

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)
7

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)
8

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)
9

Sodium has body centred packing. Distance between two nearest atoms is 3.7 A. The lattice parameter is

  1. 4.3 A
  2. 3.0 A
  3. 8.6 A
  4. 6.8 A
AIPMT 2009
10

Lithium metal crystallises in a body-centred cubic crystal. If the length of the side of the unit cell of lithium is 351 pm, the atomic radius of lithium will be

  1. 151.8 pm
  2. 75.5 pm
  3. 300.5 pm
  4. 240.8 pm
Out of syllabusAIPMT 2009
11

Copper crystallises in a face-centred cubic lattice with a unit cell length of 361 pm. What is the radius of copper atom in pm?

  1. 157
  2. 181
  3. 108
  4. 128
Out of syllabusAIPMT 2009

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