The average binding energy per nucleon in the nucleus of an atom is approximately ........

$A$ nucleus of mass $M + \Delta m$ is at rest and decays into two daughter nuclei of equal mass $\frac{M}{2}$ each. The speed of light is $c$. The binding energy per nucleon for the parent nucleus is $E_1$ and that for the daughter nuclei is $E_2$. Then:

An alpha particle $\left({ }^{4} He\right)$ has a mass of $4.00300 \ amu$. $A$ proton has a mass of $1.00783 \ amu$ and a neutron has a mass of $1.00867 \ amu$. The binding energy of an alpha particle estimated from these data is closest to: (in $MeV$)

The masses of neutron, proton and deuteron in amu are $1.00893$, $1.00813$ and $2.01473$, respectively. The packing fraction of the deuteron in amu is

The binding energy per nucleon of ${O^{16}}$ is $7.97 \,MeV$ and that of ${O^{17}}$ is $7.75 \,MeV$. The energy (in $MeV$) required to remove a neutron from ${O^{17}}$ is

The positions of four different nuclei in the binding energy curve are shown in the figure. The process that might not proceed spontaneously is