If the total binding energies of ${ }_1^2 H ,{ }_2^4 He ,{ }_{26}^{56} Fe$ and ${ }_{92}^{235} U$ nucleiare $2.22,28.3,492$ and $1786 MeV$ respectively, identify the most stable nucleus of the following.
${ }_{26}^{56} Fe$
${ }_1^2 H$
${ }_{92}^{235} U$
${ }_2^4 He$
Atomic number of a nucleus is $Z$ and atomic mass is $M.$ The number of neutron is
Two nuclei have their mass numbers in the ratio of $1 : 3.$ The ratio of their nuclear densities would be
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 .......$fm$
If $r_1$ and $r_2$ are the radii of the atomic nuclei of mass number $64$ and $125$ respectively, then the ratio $(r_1/r_2)$ is
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 $A$).