Question

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$
Assertion (A): The nuclear density of nuclides ${ }_5^{10} B ,{ }_3^6 Li ,{ }_{26}^{56} Fe ,{ }_{10}^{20} Ne$ and ${ }_{83}^{209} Bi$ can be arranged as $\rho_{ Bi }^N>\rho_{ Fe }^N>\rho_{ Ne }^N>\rho_{ B }^N>\rho_{ Li }^N$.
Reason R: The radius $R$ of nucleus is related to its mass number $A$ as $R=R_0 A^{1 / 3}$, where $R_0$ is a constant.
In the light of the above statements, choose the correct answer from the options given below

• A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
• B. $A$ is false but $R$ is true
• C. Both $A$ and $R$ are true but $R$ is NOT the correct explanation of $A$
• D. A is true but $R$ is false

Answer 1

The Correct Option is B

Assertion A states that the nuclear densities follow the order: ρ Bi > ρ Fe > ρ Ne > ρ B > ρ Li.
Reason R states that the radius of a nucleus is related to its mass number A as R = \(R_0 A^{\frac {1}{3}}\), where R₀ is a constant.
These two statements do not have a direct connection. The arrangement of nuclear densities does not directly relate to the formula for nuclear radius.
Nuclear density is independent of A.

So, the correct answer is (B): A is false but R is true.