A) \[\frac{20}{3}\pi {{r}^{3}}\]
B) \[\frac{24}{3}\pi {{r}^{3}}\]
C) \[\frac{12}{3}\pi {{r}^{3}}\]
D) \[\frac{16}{3}\pi {{r}^{3}}\]
Correct Answer: D
Solution :
Total number of atoms in face centred cubic unit cell =4. At corner \[=8\times \frac{1}{8}=1\] On faces \[=6\times \frac{1}{2}=3\] Total = 4 Total volume\[=n\times \left( \frac{4}{3}\pi {{r}^{3}} \right)=4\times \frac{4\pi {{r}^{3}}}{3}=\frac{16}{3}\pi {{r}^{3}}\]
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