The graph of $\ln \left(\frac{R}{R_0}\right)$ versus $\ln A$ is,where $R$ is the radius of a nucleus,$A$ is its mass number,and $R_0$ is a constant.

If the radius of the $^{27}_{13}Al$ nucleus is taken to be $R_{Al}$,then the radius of the $^{125}_{53}Te$ nucleus is nearly

$A$ nucleus at rest splits into two nuclear parts having the same density and radii in the ratio $1:2$. Their velocities are in the ratio $\qquad$ . (in $:1$)

The atomic number of a nucleus is $Z$ and the atomic mass number is $M$. The number of neutrons is

The ratio of the nuclear radii of elements with mass numbers $216$ and $125$ is

An atom ${}_3^8 X$ is bombarded by a shower of fundamental particles. In $10 \ s$,this atom absorbs $10$ electrons,$10$ protons,and $9$ neutrons. The percentage growth in the surface area of the nucleus is recorded as: (in $\%$)