The ratio of the radii of two nuclei of mass numbers $A_1$ and $A_2$ respectively would be
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → $(A_1/A_2)^{1/3}$
Formula:
The radius of a nucleus is given by
$R = R_0 A^{1/3}$
where $R_0$ is a constant and $A$ is the mass number.
Therefore, the ratio of the radii of two nuclei is
$\frac{R_1}{R_2} = \left( \frac{A_1}{A_2} \right)^{1/3}$
Hence, $\displaystyle \frac{R_1}{R_2} = \left( \frac{A_1}{A_2} \right)^{1/3}$