Which of the following statements are correct?
(A) A nucleus of mass number A has a radius R given by the expression $R =R_0A^{1/3}$
(B) Volume of nucleus is proportional to mass number A
(C) The density of nucleus increases with the radius of nucleus.
(D) Density of nuclear matter does not depend on its mass number A
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A), (B) and (D) only
Explanation:
(A) True — The radius of a nucleus is given by $R = R_0 A^{1/3}$, where $R_0$ is a constant.
(B) True — Since volume $V \propto R^3 \propto (A^{1/3})^3$, hence $V \propto A$.
(C) False — Nuclear density is constant and does not depend on radius; it remains nearly same for all nuclei.
(D) True — The density of nuclear matter is independent of the mass number $A$.