Q 12-13-143JEE MainJEE Main 2025 (8 Apr, Shift 2)Easy
For a nucleus of mass number $A$ and radius $R$, the mass density of the nucleus can be represented as:
Answer: (D) Independent of $A$
$R = R_0A^{1/3}$, so the volume $\tfrac43\pi R_0^3A$ is proportional to $A$, as is the mass $Am_n$. The density $\rho = \dfrac{Am_n}{\frac43\pi R_0^3A}$ does not depend on $A$.
Solution by Sreeraj P, M.Sc Physics