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JEE PHYSICS MCQ: NUCLEI

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Analyzing +4 | -1
Given below are two statements: one is labelled as Assertion A\mathbf{A} and the other is labelled as Reason R\mathbf{R}

Assertion A: The nuclear density of nuclides 510 B{ }_5^{10} \mathrm{~B}, 36Li,2656Fe,1020Ne{ }_3^6 \mathrm{Li},{ }_{26}^{56} \mathrm{Fe},{ }_{10}^{20} \mathrm{Ne} and 83209Bi{ }_{83}^{209} \mathrm{Bi} can be arranged as ρBiN>ρFeNN>ρNeNN>ρBN>ρLiN\rho_{\mathrm{Bi}}^{\mathrm{N}}>\rho_{\mathrm{Fe}_{\mathrm{N}}}^{\mathrm{N}}>\rho_{\mathrm{Ne}_{\mathrm{N}}}^{\mathrm{N}}>\rho_{\mathrm{B}}^{\mathrm{N}}>\rho_{\mathrm{Li}}^{\mathrm{N}}

Reason R\mathbf{R} : The radius RR of nucleus is related to its mass number AA as R=R0A1/3R=R_0 A^{1 / 3}, where R0R_0 is a constant.

In the light of the above statements, choose the correct answer from the options given below
View answer and explanation
Correct option: D
AA is false but RR is true
Option D (AA is false but RR is true) is correct because the nuclear density is approximately constant for all nuclei, and the radius is indeed related to the mass number as stated in the reason.

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