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JEE Advanced 2010Paper 2

Exam: JEE Advanced
Year: 2010
Paper: Paper 2
Subject: Chemistry
Chapter: Solid State

JEE Advanced 2010 · Paper 2 · Chemistry · Solid State

The packing efficiency of the two-dimensional square unit cell...

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

Options

A $39.27 \%$
B $68.02 \%$
C $74.05 \%$
D $78.54 \%$

Correct answer

D. $78.54 \%$

Step-by-step 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}

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

Solid state Basic analysis (understanding) II

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