Given below are two statements: Assertion (A): The density of nuclear matter is a constant, independ

Question

Given below are two statements: Assertion (A): The density of nuclear matter is a constant, independent of the mass number $A$ for all nuclei. Reason (R): The radius of a nucleus is proportional to $A^{1/3}$, making its volume directly proportional to $A$.

Professor PC Thomas Classes · Answer

Density = Mass / Volume. Mass is proportional to $A$, and since $R = R_0 A^{1/3}$, Volume is also proportional to $A$. Thus, density is a constant for all nuclei.