If $200 \, MeV$ of energy is released per fission of a $_{92}U^{235}$ nucleus, how many nuclei must undergo fission per second to produce a power of $1 \, kW$?

Assertion: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.
Reason: For heavy nuclei,binding energy per nucleon increases with increasing $Z$,while for light nuclei,it decreases with increasing $Z$.

Suppose a ${ }_{88}^{226} Ra$ nucleus at rest and in the ground state undergoes $\alpha$-decay to a ${ }_{86}^{222} Rn$ nucleus in its excited state. The kinetic energy of the emitted $\alpha$ particle is found to be $4.44 \text{ MeV}$. The ${ }_{86}^{222} Rn$ nucleus then goes to its ground state by $\gamma$-decay. The energy of the emitted $\gamma$-photon is . . . . . . . $\text{keV}$.
[Given: atomic mass of ${ }_{88}^{226} Ra = 226.005 \text{ u}$,atomic mass of ${ }_{86}^{222} Rn = 222.000 \text{ u}$,atomic mass of $\alpha$ particle $= 4.000 \text{ u}$,$1 \text{ u} = 931 \text{ MeV}/c^2$]

Identify the type of nuclear process given below:
$4\,_{1}H^{1} \to \,_{2}He^{4} + 2\,_{1}e^{0} + 2\nu + 26\,MeV$

In a fast breeder atomic reactor,.......

Choosing the correct option, complete the given nuclear fusion reaction that occurs in the sun.
${ }_1^3 H +{ }_1^3 H \rightarrow{ }_2^4 He +{ }_1^1 H +{ }_1^1 H +$ . . . . . . . (in $\text{ MeV}$)