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The Solid State

Question
CBSEENCH12011238

A solid compound XY has NaCl structure. If the radius of the cation is 100 pm, the radius of the anion (Y-) will be 

  • 275.1 pm

  • 322.5 pm

  • 241.5 pm

  • 165.7 pm

Solution

C.

241.5 pm

Radius space ratio space of space NaCl space like space crystal space space equals space straight r to the power of plus over straight r to the power of minus space equals space 0.414
or space straight r to the power of minus space equals space fraction numerator 100 over denominator 0.414 end fraction space equals space 241.5 space pm