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 5 10 ,   L 3 6 i ,   F 26 56 e ,   N 10 20 e   and   B 83 209 i can be arranged as ρ B i N > ρ F e N >…

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 ${}_{5}^{10}B, {}_{3}^{6}L i, {}_{26}^{56}F e, {}_{10}^{20}N e and {}_{83}^{209}B i$ can be arranged as $ρ_{B i}^{N} > ρ_{F e}^{N} > ρ_{N e}^{N} > ρ_{B}^{N} > ρ_{L i}^{N}$

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

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

Aicharya · Accepted Answer

Nuclear density is given by, &#961; = m 4 3 &#960; R 0 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 &#160; A 1 3 .

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R…

Solution