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A metal crystallises in a face centred c...

A metal crystallises in a face centred cubic structure. If the edge length of its unit cell is 'a' the closest approach between two atoms in metallic crystal will be

A

2a

B

`2sqrt(2)a`

C

`sqrt(2)a`

D

`(a)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Distance of closest approach in fcc unit cell
`=(1)/(2)xx` length of face diagonal
`(1)/(2)xxasqrt(2)=(a)/(sqrt(2))`
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