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Solid State · Question 22

AIPMT 2012 (Mains)MCQMedium📈 Topic in 12% papers+4−1
1

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

Answer

(4) AB2O2

Solution

Number of oxide ions in a ccp unit cell = 4

⇒ Tetrahedral voids = 2 4 = 8 and octahedral voids = 4

A atoms = 14 8 = 2

B atoms = 4 (all octahedral voids)

⇒ A : B : O = 2 : 4 : 4 = 1 : 2 : 2

∴ Formula = AB2O2

Check: charge = 2(+2) + 4(+1) = +8 = 4 2, so the oxide is neutral.

Answer: (4)

Out of syllabusAIPMT 2012 (Mains)

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2

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)
3

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)
4

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)
5

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)
6

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
7

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
8

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
9

If the lattice parameter for a crystalline structure is 3.6 A, then the atomic radius in fcc crystal is

  1. 2.92 A
  2. 1.27 A
  3. 1.81 A
  4. 2.10 A
AIPMT 2008
10

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

  1. 34%
  2. 28%
  3. 30%
  4. 32%
Out of syllabusAIPMT 2008
11

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

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