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Question

A body centred cubic lattice is made up of hollow spheres of B. Spheres of solid A are present in hollow spheres of B. Radius of A is half of radius of B. What is the ratio of total volume of spheres of B unoccupied by A in a unit cell and volume of unit cell?

A
73π64
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B
73128
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C
7π64
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D
None of the above
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Solution

The correct option is D None of the above
As we know for a BCC,
ratio of total volume of spheres of B unoccupied by A in a unit cell and volume of unit cell =24/3π((3)/4)324/3π((3)/8)3/1

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