The nuclear radius is of the order of 10^(-13) cm while atomic radius is of the order 10^(-8) cm. Assuming the nucleus and the atom to be spherical, what fraction of the atomic volume occupied by the nucleus ?

The nuclear radius is of the order of 10^(-13) cm while atomic radius

1.	The nuclear radius is of the order of 10^(-13) cm while atomic radius is of the order 10^(-8) cm. Assuming the nucleus and the atom to be spherical, what fraction of the atomic volume occupied by the nucleus ?
Answer» Solution :The volume of a sphere `= 4pi r^(3)//3` where r is the RADIUS of the sphere `:.` Volume of the NUCLEUS `= 4pi r^(3)//3 = 4pi (10^(-13))^(3)//3 cm^(3)` SIMILARLY, Volume of the atom `= 4pi r^(3)//3 = 4pi (10^(-8))^(3)//3 cm^(3)` `:.` Fraction of the volume of atom occupied by the nucleus `= (4pi (10^(-13))^(3)//3 cm^(3))/(4pi (10^(-8))^(3)//3) cm^(3) = 10^(-15)`