Let $E_1$ and $E_2$ be the binding energies of two nuclei $A$ and $B.$ It is observed that two nuclei of $A$ combine together to form a $B$ nucleus. This observation is correct only if

Two deuterons undergo nuclear fusion to form a Helium nucleus. Energy released in this process is ............. $MeV$ (given binding energy per nucleon for deuteron $= 1.1 \, MeV$ and for helium $= 7.0 \, MeV$)

Mention the use of controlled nuclear fission. Mention the use of uncontrolled nuclear fission.

The average energy released per fission for the nucleus of $_{92}^{235} U$ is $190 \text{ MeV}$. When all the atoms of $47 \text{ g}$ pure $_{92}^{235} U$ undergo fission process, the energy released is $\alpha \times 10^{23} \text{ MeV}$. The value of $\alpha$ is . . . . . . . . . . . (Avogadro Number $= 6 \times 10^{23} \text{ per mole}$)

In a fission reaction $_{92}^{236}U \to ^{117}X + ^{117}Y + n + n$,the binding energy per nucleon of $X$ and $Y$ is $8.5\, MeV$,whereas that of $^{236}U$ is $7.6\, MeV$. The total energy liberated will be about . . . . . . $MeV$.

If each fission in a $U^{235}$ nucleus releases $200 \, MeV$, how many fissions must occur per second to produce a power of $1 \, kW$?