The binding energy per nucleon in deuterium and helium are $1.1 \mathrm{MeV}$ and $7.0 \mathrm{MeV}$respectively. What energy in joules will be liberated, When$10{ }^6$ deuterons take part in the reaction.

In the series of radioactive disintegration of ${{}_{A}X}^Z$  first an alpha particle and then a beta particle is emitted. What is the atomic number and mass number of the new nucleus formed by these successive disintegrations?

Consider the fission of ${}_{92}{}^{238}\mathrm{U}$ by fast neutrons. In one fission event, no neutrons are emitted and the final end products, after the beta decay of the primary fragments, are ${}_{58}{}^{140}\mathrm{C}\mathrm{e}$ and ${}_{44}{}^{99}\mathrm{R}\mathrm{U}$. Calculate $\mathrm{Q}$ for this fission process. The relevant atomic and particle masses are:
$\mathrm{m}\left({}_{92}{}^{238}\mathrm{U}\right)=238.05079 \mathrm{u}$
$\mathrm{m}\left({}_{58}{}^{140}\mathrm{C}\mathrm{e}\right)=139.90543 \mathrm{u}$
$\mathrm{m}\left({}_{44}{}^{99}\mathrm{R}\mathrm{U}\right)=98.90594 \mathrm{u}$