A body centered cubic lattice is made up of hollow spheres of \( B \). Spheres of solid \( A \) ...

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A body centered 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) \( \frac{7 \sqrt{3 \pi}}{64} \)
(b) \( \frac{7 \sqrt{3}}{128} \)
(c) \( \frac{7 . \pi}{24} \)
(d) none of these
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