If $5 \ mg$ of ${}^{235}U$ is completely destroyed in an atom bomb,then the approximate total energy released is (given that the energy released per fission is $200 \ MeV$).

In the nuclear fusion reaction $_1^2H + _1^3H \to _2^4He + n$,given that the repulsive potential energy between the two nuclei is $7.7 \times 10^{-14} \ J$,the temperature at which the gases must be heated to initiate the reaction is nearly? [Boltzmann's constant $k = 1.38 \times 10^{-23} \ J/K$]

$A$ nucleus of mass $M + \Delta m$ is at rest and decays into two daughter nuclei of mass $\frac{M}{4}$ and $\frac{3M}{4}$. If the speed of light is $c$,the speed of the daughter nucleus of mass $\frac{M}{4}$ is:

When two nuclei of mass $X$ and $Y$ respectively fuse to form a nucleus of mass $m$ along with the liberation of some energy, then

The power obtained in a reactor using $^{235}U$ disintegration is $1000 \text{ kW}$. The mass decay of $^{235}U$ per hour is ............ $\mu g$.

If $200 \text{ MeV}$ of energy is released in the fission of one nucleus of ${ }_{92}^{236} U$,the number of nuclei that must undergo fission to release an energy of $1000 \text{ J}$ is