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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

`8pir^(3)`

C

`4pir^(3)`

D

`(16)/(3)pir^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D

For fcc, `Z_(eff) = 4//"unit cell"`
Volume of atoms in the unit cell `= 4/3 pir^(3) xx Z_(eff)`
`= 4/3 pi r^(3) xx 4`
`= (16)/(3) pir^(3)`
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