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

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

1. $39.27 \%$
2. $68.02 \%$
3. $74.05 \%$
4. $78.54 \%$

Solution

$a=(2 \sqrt{2} r)$ Packing fraction $=\frac{2 \times \pi r^2}{2(\sqrt{2} r)^2}=\frac{2 \pi r^2}{8 r^2}=\frac{\pi}{4}$
Solid state Basic analysis (understanding) II

Asked in: JEE Advanced 2010 (Paper 2)

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