The ratio of densities of nuclei with mass numbers A and 2A, respectively is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1 : 1
Density of a nucleus: $\rho = \frac{\text{Mass}}{\text{Volume}}$
Assuming spherical nucleus, radius $R \propto A^{1/3}$
Volume, $V \propto R^3 \propto A$
Mass, $M \propto A$
So, $\rho = \frac{M}{V} \propto \frac{A}{A} = \text{constant}$
Therefore, the ratio of densities of nuclei with mass numbers $A$ and $2A$ is:
1 : 1