-->

The Solid State

Question
CBSEENCH12011267

AB crystallises in a body centred cubic lattice with edge length 'a' equal to 387 pm. The distance between two oppositely charged ion in the lattice is

  • 335 pm

  • 250 pm

  • 200 pm

  • 300 pm

Solution

A.

335 pm

For body centred cubic (bcc) lattice, distance between two oppositely charged ions,
straight d space equals space fraction numerator square root of 3 straight a end root over denominator 2 end fraction space equals space fraction numerator square root of 3 space end root space straight x space 387 over denominator 2 end fraction space pm
equals space 355.15 space pm space