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451.

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

  • 30%

  • 32%

  • 34%

  • 28%


B.

32%

Packing Fraction = Volume occupied by atoms in a unit cellVolume of the unit cell

For body centered cube, 

Packing Fraction = 2 × 43πr34r33

                        = 3π8 = 0.68

 Volume occupied = 68%

Volume vacant = 32%


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452.

Ferrous oxide has a cubic structure. The length of edge of the unit cell is 5 Å and the density of the oxide is 4 .0 g cm-3 Then the number of Fe2+ and O2- ions present in each unit cell will be

  • four Fe2+ and two O2-

  • four Fe2+ and four O2-

  • two Fe2+ and four O2-

  • two Fe2+ and two O2-


453.

Which of the following arrangements correctly represents hexagonal and cubic close packed structure respectively?

  • ABAB. .. and ACBACB ......

  • ABCABC....... and ABAB

  • Both have ABCABC.....arrangement

  • Both have ABAB.... arrangement


454.

KF has ccp structure. How many F- ions and octahedral voids are there in this unit cell respectively?

  • 4 and 4

  • 4 and 8

  • 8 and 4

  • 6 and 6


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455.

The number of atoms contained in a fee unit cell of a monoatomic substance is

  • 1

  • 2

  • 4

  • 6


456.

If a be the edge length of the unit cell and r be the radius of an atom then for fee arrangement, the correct relation is

  • 4a = 3r

  • 4r = 3a

  • 4r = 2a

  • 4r = a2


457.

A solid AB has the NaCl structure. If radius of cation A+ is 120 pm, the maximum possible value of the radius of the anion B- is

  • 240 pm

  • 60 pm

  • 49.6 pm

  • 290 pm


458.

Total volume of atoms present in a face centred cubic unit cell of a metal is (r is atomic radius)

  • 163 πr3

  • 203πr3

  • 243πr3

  • 123πr3


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459.

A metallic element has a cubic lattice with edge length of unit cell of 2Å and density is 2.5g cm-1. The number of unit cells in 200g of metal are :

  • 1× 1024

  • × 1020

  • × 1025

  • × 1022


460.

In a face-centered cubic lattice, a unit cell is shared equally by how many unit cells?

  • 8

  • 4

  • 2

  • 6


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