The fraction of total volume occupied by the atom present in a simple cubic is

Options

A. `pi/6`
B. `(pi)/(3sqrt2)`
C. `(pi)/(4sqrt2)`
D. `pi/4`

Answer

A

Explanation

For simple cubic
Radius r = a/2
Volume of the atom ` = 4/3 pi (a/2)^3`
Packing fraction `= (4/3 pi (a/2)^3)/(a^3) = pi/6 `