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

Total no. of atoms in fcc unit cell `=4`
Total volume `=4xx(4pir^(3))/3=16/3 pir^(3)`