The packing fraction of the element that crystallizes in simple cubic arrangement is

Options

A. `(pi)/(4)`
B. `(pi)/(6)`
C. `(pi)/(3)`
D. `(pi)/(2)`

Answer

B

Explanation

`P.E. = ((4)/(3) pi r^(3)xx1 )/(a^(3)) = ((4)/(3) pi r^(3))/((2r)^(3)) = (pi)/(6)`