Read the following statements:

$(A)$ Volume of the nucleus is directly proportional to the mass number.

$(B)$ Volume of the nucleus is independent of mass number.

$(C)$ Density of the nucleus is directly proportional to the mass number.

$(D)$ Density of the nucleus is directly proportional to the cube root of the mass number.

$(E)$ Density of the nucleus is independent of the mass number.

Choose the correct option from the following options.

A nucleus ruptures into two nuclear parts which have their velocity ratio equal to $2 : 1$. What will be the ratio of their nuclear size (nuclear radius)

If the nucleus ${}_{13}^{27}Al$ has a nuclear radius of  about $3.6\,\, fm,$ then ${ }_{32}^{125} Te$ would have its radius  approximately as .......$fm$

Two nucleons are at a separation of $1 \times {10^{ - 15}}m$. The net force between them is ${F_1}$, if both are neutrons, ${F_2}$ if both are protons and ${F_3}$ if one is a proton and other is a neutron. In such a case

The particles which can be added to the nucleus of an atom without changing its chemical properties are called

The nuclear radius is given by $R=r_0 A^{1 / 3}$, where $r_0$ is constant and $A$ is the atomic mass number. Then, the nuclear mass density of $U^{238}$ is