First three nearest neighbour distance f...

First three nearest neighbour distance for body centred cubic lattice are respectively:

A

`sqrt2 a , a , sqrt3 a`

B

`(a)/(sqrt2) , a , sqrt3 a`

C

`(sqrt3 a)/(2) , a , sqrt2 a`

D

`(sqrt3 a)/(2) , a , sqrt3 a`

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The correct Answer is:

C

AB=`(sqrt(3)a)/(2)` (nearest)
`AC=a` (next-nearest)
`CD=sqrt(2)a` (next-next-nearest)

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