A) \[\frac{\pi }{2}\]
B) \[\frac{\sqrt{3\,\pi }}{8}\]
C) \[\frac{\sqrt{2\,\pi }}{6}\]
D) \[\frac{\pi }{6}\]
Correct Answer: D
Solution :
In simple cubic arrangement, number of atoms \[=1\] \[\operatorname{a}=2r\] Packing fraction \[=\,\,\,\,\frac{Volume\text{ }occupied\text{ }by\text{ }one\text{ }atom}{Volume\,\,of\,\,unit\,\,cell}\] \[=\,\,\,\frac{\frac{4}{3}\pi {{r}^{3}}\,}{{{a}^{3}}}\frac{\frac{4}{3}\pi {{r}^{3}}}{{{(2r)}^{3}}}\,\,=\,\,\frac{\pi }{6}\]You need to login to perform this action.
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