The ratio of the radii of nuclei $_{13}Al^{27}$ and $_{52}X^A$ is $3:5$. The number of neutrons in the nucleus of $X$ will be:

The range of weak nuclear force is of the order of

From the relation $R = R_{0} A^{1/3}$,where $R_{0}$ is a constant and $A$ is the mass number of a nucleus,show that the nuclear matter density is nearly constant (i.e.,independent of $A$).

Which of the following is true for a sample of $U^{235}$ and $U^{238}$ isotopes?

The radius of the nucleus of an atom whose mass number is $125$ is:

Assume that protons and neutrons have equal masses. The mass of a nucleon is $1.6 \times 10^{-27} \ kg$ and the radius of a nucleus is $R = 1.5 \times 10^{-15} A^{1/3} \ m$. The approximate ratio of the nuclear density to the water density is $n \times 10^{13}$. The value of $n$ is $.................$