A) \[\frac{\pi }{6}\]
B) \[\frac{\pi }{3\sqrt{2}}\]
C) \[\frac{\pi }{4\sqrt{2}}\]
D) \[\frac{\pi }{4}\]
Correct Answer: A
Solution :
| [a] For simple cubic |
| Radius \[(r)=\frac{a}{2}\] |
| Volume of the atom = \[\frac{4}{3}\pi {{\left( \frac{a}{2} \right)}^{3}}\] |
| Packing fraction = \[\frac{\frac{4}{3}\pi {{\left( \frac{a}{2} \right)}^{3}}}{{{a}^{3}}}\] |
| \[=\frac{\pi }{6}\] |
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