$A$ nucleus of mass $M + \Delta m$ at rest decays into two daughter nuclei of equal mass $M/2$. If the speed of light is $c$,the speed of each daughter nucleus is:

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

$A$ $^{235}U$ nuclear reactor generates energy at a rate of $3.70 \times 10^7 \text{ J/s}$. Each fission liberates $185 \text{ MeV}$ of useful energy. If the reactor has to operate for $144 \times 10^4 \text{ s}$, the mass of the fuel needed is (Assume Avogadro's number $= 6 \times 10^{23} \text{ mol}^{-1}$, $1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}$) (in $\text{ kg}$)

The rest mass of an electron as well as that of a positron is $0.51 \, MeV$. When an electron and a positron annihilate, they produce gamma-rays of wavelength(s):

Complete the equation for the following fission process:
$_{92}U^{235} + _0n^1 \to _{38}Sr^{90} + ....$

$A$ nuclear reactor with $40\%$ efficiency produces $10^{14}$ fissions per second. Each fission releases $250 \text{ MeV}$ of energy. The power output of the reactor is ......... $W$.