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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^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D

no. of atoms in FCC=4
volume of 1 atoms `=(4)/(3)pir^(3)`
Total volume of 4 atoms `=4xx(4)/(3)pir^(3)`
`=(16)/(3)pir^(3)`
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