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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) pi r^(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
Volume of atom in a cell `=(4)/(3)pi r^(3)xxn`
`(n=4 fo r f.c.c.)`
`=(4)/(3)pi r^(3)xx4=(16)/(3)pi r^(3)`
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