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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

`2sqrt2a`

C

`sqrt2a`

D

`(a)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
For a fcc unit cell
` r = (sqrt2 a)/(4)`
Closest distance (2r) ` = (sqrt2a)/(4) = (a)/(sqrt2)`
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