The ratio of radii of the nuclei with the mass numbers given as 2, 16, 54 and 128, respectively, will be
Answer & explanation
Correct answer: option 2
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