In nuclear reactions,which of the following quantities are conserved?

The binding energy per nucleon for $C^{12}$ is $7.68 \text{ MeV}$ and that for $C^{13}$ is $7.5 \text{ MeV}$. The energy required to remove a neutron from $C^{13}$ is ......... $\text{MeV}$.

The binding energy per nucleon of ${ }_5 B ^{10}$ is $8.0 \,MeV$ and that of ${ }_5 B ^{11}$ is $7.5 \,MeV$. The energy required to remove a neutron from ${ }_5 B ^{11}$ is .......... $MeV$.

Nuclear fission is possible because the binding energy per nucleon ...

$A$ 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:

The energy equivalent to a substance of mass $1 \,g$ is