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

Options

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

Answer

B

Explanation

For simple cubie 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`