Kumar Mittal Solutions for Exercise 1: QUESTIONS

Define unified atomic mass unit $u.$ Obtain its value in $kg$. Find energy equivalent to $1 u.$

Determine the binding energy per nucleon of the nucleus of ${}_{8}O^{16}$. Given: mass of hydrogen atom$=1.007825 u$, mass of neutron$=1.008665 u$ and atomic mass of ${}_{8}O^{16}=15.994915 u$.

If we form a lithium nucleus $\left({}_{3}L{i}^7\right)$ by $4$ neutrons and $3$ protons, then how much energy will be released? $\left({\mathrm{m}}_{\mathrm{p}}=1.007825 \mathrm{u}, {\mathrm{m}}_{\mathrm{n}}=1.008665 \mathrm{u}\right)$ the mass of the lithium nucleus is $7.01436 u$.

The binding energy per nucleon of ${}_{8}O^{16}$ is $7.97 MeV$ and that of ${}_{8}O^{17}$ is $7.75 MeV$. Find the energy needed to remove a neutron from ${}_{8}O^{17}$.

Calculate the disintegration energy $Q$ when a heavy nucleus of mass number $A=240$ with binding energy per nucleon $7.6 MeV$ is split into two equal fragments of mass number $A\text{'}=120$, each with $BE$/nucleon $8.5 MeV$.

How much energy is needed to remove a neutron from the nucleus of ${}_{13}A{l}^{27}$? Given: mass of ${}_{13}A{l}^{27}$ atom$=26.981541 u$, mass of ${}_{13}A{l}^{26}$ atom$=25.986895 u$, mass of neutron$=1.008665 u$.

Bombardment of lithium with protons give rise to the following reaction:

${}_{3}L{i}^7+\underset{\left(\mathrm{proton}\right)}{{}_{+1}H^1}\to \underset{\left(\alpha -\mathrm{particle}\right)}{{}_{2}H{e}^4}+{}_{2}H{e}^4+\mathrm{energy}$.

The atomic masses of lithium, hydrogen and helium are $7.016 u, 1.008 u$ and $4.004 u$ respectively. Find the energy carried by each $\alpha$-particle. Given: $1 u=931 MeV$.

$100 \mathrm{g}$ of ${}_{3}L{i}^7$ is converted into ${}_{2}H{e}^4$ by proton bombardment. Calculate the energy released. Given: mass of ${}_{3}L{i}^7$ atom$=7.016 u$, mass of ${}_{2}H{e}^4$ atom$=4.004 u$, mass of ${}_{1}H^1$ atom $=1.008 u$. The Avogadro number is $6.02\times {10}^{23} {\mathrm{mol}}^{-1}$.