1.

The packing efficiency of the two-dimensional square unit cell shown below is ..........(A) 39.27 %(B) 68.02 %(C) 74.05 %(D) 78.54 %

Answer»

Correct answer is: (D) 78.54 %

a\(\sqrt{2}\) = 4r

\(\Rightarrow\) a = 2\(\sqrt{2}\) r

Packing fraction =\(\cfrac{Occupied\,area}{Total\,area}\)

\(=\cfrac{2\pi r^2}{(2\sqrt{2r})^2}\times100=78.5\)%



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