Embibe Experts Solutions for Chapter: Nuclear Physics, Exercise 1: Exercise#1

In a fast breeder atomic reactor,

The masses of nucleus, neutrons and protons are $M\text{,} m_{\mathrm{n}}$ and $m_{\mathrm{p}}$, respectively. If the nucleus has been divided into neutrons and protons, then,

A positron of $1 \mathrm{MeV}$ collides with an electron of $1 \mathrm{MeV}$ and gets annihilated and the reaction produces two gamma-ray photons. If the effective mass of each photon is $0.0016 \mathrm{amu}$, then the energy of each $\gamma$ -ray photon is about 

If mass of the fissionable material is less than the critical mass, then,

The value of binding energy for ${}_1\mathrm{H}^2\text{,} {}_2\mathrm{He}^4\text{,} {}_{26}\mathrm{Fe}^{56}\text{,}{ }_{92}{\mathrm{U}}^{235}$ are $2.22\text{,} 28.3\text{,} 492$ and $1786$units, respectively. Then, the most stable nucleus is,

The binding energies per nucleon of deuteron and $\alpha$ -particle are $x_1$ and $x_2$, respectively. Then, the energy released in the following reaction will be,${}_1{\mathrm{H}}^2{+}_1{\mathrm{H}}^2={}_2\mathrm{He}^4+\mathrm{Q}$

If the mass of proton$=1.008$ $\mathrm{amu}$ and mass of neutron$=1.009 \mathrm{amu}$ then binding energy per nucleon for ${}_4\mathrm{Be}^9$ (mass$=9.012 \mathrm{amu}$) would be

An electron-positron pair (rest mass of each particle$=0.51 \mathrm{MeV}$) is produced by a $\gamma$-ray photon of energy $2.42 \mathrm{MeV}$. The K.E. imparted to each of the charged particles shall be