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JEE Main levelSingle correct optionDifficulty 2 of 3ss115

The ratio of the packing efficiency of a bcc lattice to that of a simple cubic lattice (identical spheres) is closest to

A1.42
B1.30
C0.77
D1.74

Answer: B

bcc:

\frac{3 π}{8} = 0.680

; simple cubic:

\frac{π}{6} = 0.524

. The ratio is

\frac{3 3}{4} = 1.299 \approx 1.30

.

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