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Types of Unit Cell

A metal cryst...

Question

A metal crystallizes with a face centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is:

A

144pm

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B

204pm

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C

288pm

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D

408pm

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Solution

The correct option is B 288pm
For FCC $r = \frac{a}{2 \sqrt{2}}$

Hence Diameter = $\frac{a}{\sqrt{2}}$

Diameter = $\frac{408}{1.414} = 288.5 p m$
Hence, the correct option is $C$

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