First three nearest neighbour distance for body centered cubic lattice are 

Options

A. `sqrt2a, a, sqrt3a`
B. `(a)/(sqrt2), a sqrt3,a`
C. `(sqrt3a)/(2), a, sqrt2a`
D. `(sqrt3a)/(2),a,sqrt3a`

Answer

C

Explanation

Nearest distance along body diagonal `=2r rArr 2((sqrt3a)/(4))=(sqrt3a)/(2)`
Next nearest distance along the edge length `= `a
Next nearest distance along the face diagonal `=sqrt2a`