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In body-centred cubic lattice given belo...

In body-centred cubic lattice given below, the three disntances `AB, AC`, and `AA'` are

A

`a, sqrt2a, (sqrt3a)/(2)`

B

`a,(sqrt3a)/(2), sqrt2a`

C

`(sqrt3a)/(2), sqrt2a, a`

D

`a, (a)/(sqrt2a), (sqrt3a)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
i. Edge length `= AB = AD = BC = CD = a`
ii. `AC = sqrt(2)a`
iii. `AG` (body diagonal) `= sqrt(3)a`
Therefore `AA' = AG//2 = (sqrt(3))/(2)a`
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