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The packing efficiency of the two-dimens...

The packing efficiency of the two-dimensional square unit cell consisting of identical circles shown in below figure is

A

0.3927

B

0.6802

C

0.7405

D

0.7854

Text Solution

Verified by Experts

The correct Answer is:
D
For the given unit cell, edge length, `a=2sqrt(2)r`
Hence the packing efficiency`=(2xxpir^(2))/([2sqrt(2)r]^(2))=(2pir^(2))/(8r^(2))=(pi)/(4)=78.5%`.
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