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The Solid State

Question
CBSEENCH12011310
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Lithium metal crystallises in a body centred cubic crystal. If the length of the side of the unit cell lithium is 351 pm, the atomic radius of the lithium will be 

  • 240.8 pm

  • 151.8 pm

  • 75.5

  • 300.5 pm

Solution

B.

151.8 pm

In case of body centred cubic (bcc) crystal,
straight a square root of 3 space equals space 4 straight r
Hence, atomic radius of lithium,
straight r equals fraction numerator space straight a-th root of 3 over denominator 4 end fraction equals space fraction numerator 351 space straight x space 1.732 over denominator 4 end fraction equals space 151.1 space 98 space pm

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