A) 30%
B) 32%
C) 34%
D) 28%
Correct Answer: B
Solution :
| [b] Key Idea: Packing fraction |
| \[=\frac{\text{Volume occupied by atoms in a unit cell}}{\text{Volume of the unit cell}}\] |
| For body centred cube, |
| Packing fraction \[=\frac{2\times \frac{4}{3}\pi {{r}^{3}}}{{{\left( \frac{4r}{\sqrt{3}} \right)}^{3}}}=\frac{\sqrt{3}\pi }{8}=0.68\] where, edge length \[a=\frac{4r}{\sqrt{3}}\] |
| \[\therefore \]Volume occupied = 68% and volume vacant = 32% |
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