At what distance does the minimum value of potential energy be obtained between the nucleons (in $fm$)?

The radius of the nucleus of ${ }_{13}^{27} Al$ is $\qquad$ . (Given: $R_{0}=1.2 \text{ fm}$)

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 $.................$

The ratio of the density of oxygen nucleus $\left({ }_{8}^{16} O \right)$ and helium nucleus $\left({ }_{2}^{4} He \right)$ is (in $:1$)

The radius of a nucleus with mass number $27$ is $R$. Which of the following is true about a nucleus whose radius is $2R$?

The radius of an atom is of the order of $1\,\mathring{A}$ and the radius of a nucleus is of the order of $1$ fermi. How many magnitudes higher is the volume of the atom as compared to the volume of the nucleus?