If the radius of $_{13}^{27}\mathrm{Al}$ nucleus is taken to be ${R}_{\mathrm{Al}},$ then the radius of $_{53}^{125}\mathrm{Te}$ nucleus is near:
1. $\left(\frac{53}{13}\right) ^{\frac{1}{3}}~{R_{Al}}$
2. $\frac{5}{3}~{R_{Al}}$
3. $\frac{3}{5}~{R_{Al}}$
4. $\left(\frac{13}{53}\right)~{R_{Al}}$

The Binding energy per nucleon of $^{7}_{3}\mathrm{Li}$ and $^{4}_{2}\mathrm{He}$ nucleon are $5.60~\text{MeV}$ and $7.06~\text{MeV}$, respectively. In the nuclear reaction $^{7}_{3}\mathrm{Li} + ^{1}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He} + ^{4}_{2}\mathrm{He} +Q$, the value of energy $Q$ released is:
1. $19.6~\text{MeV}$
 2. $-2.4~\text{MeV}$
 3. $8.4~\text{MeV}$
4. $17.3~\text{MeV}$

If the nuclear radius of $^{27}\text{Al}$ is $3.6$ Fermi, the approximate nuclear radius of $^{64}\text{Cu}$ in Fermi is:
1. $2.4$
2. $1.2$
3. $4.8$
4. $3.6$

The power obtained in a reactor using $\mathrm{U}^{235}$ disintegration is $1000~\text{kW}$. The mass decay of $\mathrm{U}^{235}$ per hour is approximately equal to:
1. $20~\mu\text{g}$
2. $40~\mu\text{g}$
3. $1~\mu\text{g}$
4. $10~\mu\text{g}$

A nucleus ${ }_{{n}}^{{m}} \mathrm{X}$ emits one $\alpha\text -\text{particle}$ and two $\beta\text- \text{particle}$ The resulting nucleus is:

The mass of a ${}_3{}^7\mathrm{Li}$ nucleus is $0.042~\text{u}$ less than the sum of the masses of all its nucleons. The binding energy per nucleon of the ${}_3{}^7\mathrm{Li}$ nucleus is near:
1. $4.6~\text{MeV}$
2. $5.6~\text{MeV}$
3. $3.9~\text{MeV}$
4. $23~\text{MeV}$

The binding energy per nucleon in deuterium and helium nuclei are $1.1$ MeV and $7.0$ MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is:
1. $2.2$ MeV
2. $28.0$ MeV
3. $30.2$ MeV
4. $23.6$ MeV