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The Solid State

Question
CBSEENCH12010782

Copper crystallizes in fcc with a unit cell length of 361 pm. What is the radius of copper atom?

  • 108 pm

  • 127 pm

  • 157 pm

  • 181 pm 

Solution

B.

127 pm

For space FCC comma
square root of 2 straight a end root space equals space 4 straight r
straight r space equals space square root of fraction numerator 2 straight a over denominator 4 end fraction end root space equals space fraction numerator square root of 2 space straight x space 361 over denominator 4 end fraction
space equals space 127 space pm