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Relation Between r and a

Lithium forms...

Question

Lithium forms body centered cubic structure. The length of the side of its unit cell is $351$ pm. Atomic radius of lithium will be:

A

75

pm

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B

300

pm

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C

240

pm

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D

152

pm

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Solution

The correct option is C $152$ pm
For body-centered cubic structure, $\sqrt{3} a = 4 r$
$r = \frac{\sqrt{3} a}{4} = \frac{\sqrt{3} \times 351}{4} = 152$ pm

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