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Q.

The packing fraction for a body centred cube is

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a

0.68

b

0.76

c

0.74

d

0.86

answer is C.

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Detailed Solution

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In a body-centered cubic (bcc) unit cell:
(i) 8 corners × 1/8 per corner atom 8 x 18= 1 atom
(ii) 1 body centre atom = 1 × 1 = 1 atom
∴ Total number of atoms per unit cell = 2 atoms

volume occupied by particles(%) = 68 %.

Hence, fraction = 0.68.

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