Show that the volume of nucleus is proportional to its atomic mass number. 

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Nuclear forces are

  • [AIPMT 1990]

What is the nucleus of an atom ?

Assertion : The binding energy per nucleon, for nuclei with atomic mass number $A > 100$, decreases with $A$.

Reason : The nuclear forces are weak for heavier nuclei.

  • [AIIMS 2006]

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 statement, choose the correct answer from the options given below :

  • [JEE MAIN 2023]