Given below are two statements : one is labelled as Assertion A and...

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 $B 510 , L 36 i, F 2656 e, N 1020 e\text{and} B 83209 i$ can be arranged as ${ρ}_{Bi}^{N} > {ρ}_{Fe}^{N} > {ρ}_{Ne}^{N} > {ρ}_{B}^{N} > {ρ}_{Li}^{N}$

Reason R : The radius $R$ of nucleus is related to its mass number $A$ as $R = {R}_{0}A\dfrac{1}{3}$ , where ${R}_{0}$ is a constant.

In the light of the above statement, choose the correct answer from the options given below :

Options

ABoth A and R are true and R is the correct explanation of A
BA is false but R is true
CA is true but R is false
DBoth A and R are true but R is NOT the correct explanation of A

Correct answer

B. A is false but R is true

Step-by-step solution

Nuclear density is given by, $ρ = \dfrac{m}{\dfrac{4}{3}\pi{\left({R}_{0}\right)}^{3}}$ , where $m$ is mass of proton. Clearly it is independent of $A$ and same for all nucleus.

Radius of the nucleus is given by, $R = {R}_{0}A\dfrac{1}{3}$ .

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