The fraction of total volume occupied by atoms in a simple cube is

Options

A. `(pi)/(2)`
B. `(sqrt(3)pi)/(8)`
C. `sqrt(2pi)/(6)`
D. `(pi)/(6)`

Answer

d

Explanation

In simple cubic arrangement no of atoms `= 1`
`a = 2r`
`:.` packing fraction `= ("Volume occupied by one atom")/( "Volume of unit cell")`
`((4)/(3) pi r^(3))/(a^(3)) = ((4)/(3) pi r^(3))/((2r)^(3)) = (pi)/(6)`