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The volume of atom present in a face-cen...

The volume of atom present in a face-centred cubic unit cell of a metal (`r` is atomic radius ) is

A

`20/3 pir^(3)`

B

`24/3 pir^(3)`

C

`12/3 pir^(3)`

D

`16/3 pir^ ( r)`

Text Solution

Verified by Experts

The correct Answer is:
D
In fcc lattice effectively 4 atoms remain present in a unit cell.
`therefore` Total volume of atoms present in a fcc unit cell-
`= 4 xx 4/3 pir^(3)= 16/3 pir^(3)`
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