A) \[\frac{\pi }{3\sqrt{2}}\]
B) \[\frac{\pi }{4\sqrt{2}}\]
C) \[\frac{\pi }{4}\]
D) \[\frac{\pi }{6}\]
Correct Answer: D
Solution :
[d] Number of atoms per unit cell = 1 Atoms touch each other along edges. Hence \[r=\frac{a}{2}\] ( r = radius of atom and a = edge length) Therefore % fraction \[=\frac{\frac{4}{3}\pi {{r}^{3}}}{{{(2r)}^{3}}}=\frac{\pi }{6}=0.52\]
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