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The packing efficiency of the two dimens...

The packing efficiency of the two dimensional square unit cell shown below is:

A

0.3927

B

0.6802

C

0.7405

D

0.7854

Text Solution

Verified by Experts

`sqrt(2)L = 4r = rArr (r )/(L ) = (sqrt(2))/(4)`
Packing efficiency = `(2pi r^(2))/(L^(2)) = 2x ((1)/(2sqrt(2)))^(2) = (pi)/(4) = 78.5%` .
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