Nucleus of an atom whose atomic mass is $24$ consists of

A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is $1: 2^{1 / 3}$.Their respective speed have a ratio of $n: 1$. The value of $n$ is $.....$.

Which of the following pairs is an isobar

The radius of $R$ of a nucleus of mass number $A$ can be estimated by the formula $R =\left(1.3 \times 10^{-15}\right) A ^{1 / 3}\, m .$ It follows that the mass density of a nucleus is of the order of

$\left( M _{\text {prot. }} \cong M _{\text {neut. }}=1.67 \times 10^{-27} kg \right)$

A nucleus has mass number $A_1$ and volume $V_1$.

Another nucleus has mass number $A_2$ and volume $V_2$. If relation between mass number is $A_2=4 A_1$, then $\frac{V_2}{V_1}=$_____.

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.