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

In simple unit cell a=2r
Z=1
`therefore` Packing fraction `=("Occupied volume")/("Total volume")`
`((4)/(3)pir^(3))/(a^(3))=((4)/(3)pir^(3))/((2r)^(3))=(pi)/(6)`