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

The atomic mass of ${ }_{6} C^{12}$ is $12.000000 \ u$ and that of ${ }_{6} C^{13}$ is $13.003354 \ u$. The required energy to remove a neutron from ${ }_{6} C^{13}$,if the mass of a neutron is $1.008665 \ u$,will be: (in $MeV$)

The value of $1 \, \text{a.m.u.}$ is equivalent to how many $MeV/c^2$?

Write and explain Einstein's theory of special relativity in the context of mass-energy equivalence.

The graph of binding energy per nucleon $B_N$ versus mass number $A$ is given. In which process will energy be released?

From the given data,the amount of energy required to break the nucleus of aluminium ${ }_{13}^{27} {Al}$ is $x \times 10^{-3} {J}$.
Mass of neutron $= 1.00866 \, {u}$
Mass of proton $= 1.00726 \, {u}$
Mass of aluminium nucleus $= 26.98154 \, {u}$
(Assume $1 \, {u}$ corresponds to $1 \, {J}$ of energy for the purpose of this calculation)
(Round off to the nearest integer)