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?

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

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

Which stable nucleus has a radius that is half that of $Fe^{56}$?

Nuclear reactions are given as $(i)$ $(n, p) {}_{16}S^{32} \to {}_{15}P^{32}$,$(ii)$ $(p, \alpha) {}_{8}O^{16} \to {}_{9}F^{19}$,$(iii)$ ${}_{7}N^{14} + ? \to {}_{6}C^{14} + {}_{1}H^{1}$. The missing particles or nuclides in these reactions are respectively:

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