The valume of the nucleus of an atom of an element of mass number A is proportional to

Options

A. A
B. `A^2`
C. `A^3`
D. `A^(1//3)`

Answer

A

Explanation

Radius of the nucleus `R= R_0 A^(1//3) " where " R_0` is the radius of the atom .
`therefore` Volume of the nucleus (V) `= 4/3 piR^3 = 4/3pi[R_0 A^(1//3)]^3`
`= 4/3 piR_0^3 A`
As ` 4/3piR_0^3` is constant , `therefore V prop A`