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

Options

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

Answer

C

Explanation

No. of atoms present in fcc unit cell = 4
Total volume of atoms present in fcc unit cell
`4 xx 4/3 pi r^3 = 16/3 pi r^3`.