A) 30% and 26%
B) 26% and 32%
C) 32% and 48%
D) 48% and 26%
Correct Answer: B
Solution :
[b]Packing % in lattice \[=\frac{\text{Total}\,\text{volume}\,\text{of}\,\text{spheres}}{\text{Volume}\,\text{of}\,\text{the}\,\text{unit}\,\text{cell}}\] |
Packing fraction of \[=\frac{\pi }{3\sqrt{2}}=0.74\]\[\Rightarrow \]\[74%\] |
% free space \[=100-\]packing fraction % |
% free space in ccp = 26% |
Packing fraction of bcc \[=\frac{\pi \sqrt{3}}{8}=0.68\] |
% free space in bcc = 32% |
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