Question

Which relation gives the experimentally observed dependence of the nuclear radius \[R\] on the mass number \[A\]?

Options

• \[R = R_0 A\]

• \[R = R_0 A^{3}\]

• \[R = R_0 A^{2}\]

• \[R = R_0 A^{1/3}\]

Answer 1

Experimental studies show that the nuclear radius depends on the cube root of the mass number: \[R = R_0 A^{1/3}\], where \[R_0\] is the radius constant and \[A\] is the mass number of the nucleus.