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The Solid State

Question
CBSEENCH12010693

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

  • 75 pm

  • 300 pm

  • 240 pm

  • 152 pm

Solution

D.

152 pm

In body centred cubic structure,
Edge length = a = 351 pm, radius= r=?
straight r space equals space fraction numerator square root of 3 straight a end root over denominator 4 end fraction space equals fraction numerator square root of 3 space straight x space 351 over denominator 4 end fraction space equals space 152 space pm