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Question

Chemistry Question on The solid state

In BCC, the distance between two nearest atoms will be

A

3\sqrt 3a

B

32\frac{\sqrt 3}{2}a

C

34\frac{\sqrt 3}{4}a

D

a2\frac{a}{2}

Answer

32\frac{\sqrt 3}{2}a

Explanation

Solution

The correct option is (B): 32\frac{\sqrt 3}{2}a
In BCC, there will be atoms at the body centre and at corners. So the distance between two nearest atoms is nothing but distance between point A and O
AO=AF2\frac{AF}{2}= 32\frac{\sqrt 3}{2}a.