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

Options

A. `(20)/(3)pir^(3)`
B. `(24)(3)pir^(3)`
C. `(12)/(3)pir^(3)`
D. `(16)/(3)pir^(3)`

Answer

D

Explanation

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)`