Atomic radius is of the order of `10^(-8) cm ` and nuclear radius is of the order of `10^(-13)cm`. What fraction of an atom is occupied by nucleus ?

Options

A. ` 10^(-5)`
B. ` 10^5`
C. `10^(-15)`
D. None fo these

Answer

C

Explanation

` V_(n)/V_(a) = (( 4//3) pi (r_(n))^3)/((4//3 ) pi (r_(a))^(3)) = (r_(n)^(3))/(r_(a)^(3)) = (10^(-13))^(3)/((10^(-8))^(3)) =10 ^(-15)`.