The ratio of radii of the nuclei with the mass numbers given as 2, 16, 54 and 128, respectively, will be

1:2:3:4

The correct answer is Option (2) → 1:2:3:4

The nuclear radius is given by the relation:

$R = R_0 A^{1/3}$

where $A$ is the mass number.

Given mass numbers: 2, 16, 54, and 128

Required ratio:

$R_1 : R_2 : R_3 : R_4 = 2^{1/3} : 16^{1/3} : 54^{1/3} : 128^{1/3}$

∴ Ratio of radii = 1 : 2 : 3 : 4