If $\frac{N}{Z}$ ratio in a nucleus is smaller than the required value for stability, then:

1.	It may emit  α -particle.
2.	It may emit  β +  particle.
3.	It may go for K capture.
4.	All of the above are possible.

Determine the energy released in the process:

${}_{1}H_2+{}_{1}H_2\to {}_{2}H{e}^4+Q$

Given: M $\left({}_{1}H_2\right)$= 2.01471 amu

            M$\left({}_{2}H{e}^4\right)$= 4.00388 amu

1. 3.79 MeV
2.13.79 MeV
3. 0.79 MeV 
4. 23.79 MeV

Consider the following statements:

The correct option regarding an isotope is:

When ${}_{3}L{i}^7$ nuclei are bombarded by protons, and the resultant nuclei are ${}_{4}B{e}^8$, the emitted particles will be:

If in nuclear reactor using U²³⁵ as fuel, the power output is 4.8 MW, the number of fissions per second is:
(Energy released per fission of U²³⁵ = 200 MeV watts, 1 eV = 1.6 X 10^–19 J)

1. 1.5×10¹⁷           

2. 3×10¹⁹           

3. 1.5×10²⁵           

4. 3×10²⁵

=Calculate the Q-value of the nuclear reaction:
\(2~{ }_{6}^{12} \mathrm{C}\rightarrow{ }_{10}^{20} \mathrm{Ne}+{ }_2^4 \mathrm{He}\)
The following data are given:
\(m({ }_{6}^{12} \mathrm{C})=12.000000~\text{u}\)
\(m({ }_{10}^{20} \mathrm{Ne})=19.992439~\text{u}\)
\(m({ }_{2}^{4} \mathrm{He})=4.002603~\text{u}\)
1. \(3.16~\text{MeV}\)
2. \(5.25~\text{MeV}\)
3. \(3.91~\text{MeV}\)
4. \(4.65~\text{MeV}\)

A nucleus ${}^{\mathrm{z}}{\mathrm{X}}_{\mathrm{A}}$ emits 9 $\mathrm{\alpha }$-particles and 5 $\beta -$ particles. The ratio of total protons and neutrons in the final nucleus is:

1. $\frac{\mathrm{Z}-13}{\left(\mathrm{A}-\mathrm{Z}-23\right)}$

2. $\frac{\left(\mathrm{Z}-18\right)}{\left(\mathrm{A}-36\right)}$

3. $\frac{\left(\mathrm{Z}-13\right)}{\left(\mathrm{A}-36\right)}$

4. $\frac{\left(\mathrm{Z}-13\right)}{\left(\mathrm{A}-\mathrm{Z}-13\right)}$

An element \(X\) decays, first by positron emission, and then two \(\alpha\text-\)particles are emitted in successive radioactive decay. If the product nuclei have a mass number \(229\) and atomic number \(89\), the mass number and the atomic number of element \(X\) are:
1. \(237,~93\) 
2. \(237,~94\)
3. \(221,~84\)
4. \(237,~92\)

What is the respective number of $\alpha$ and $\beta$-particles emitted in the following radioactive decay?
\(X^{200}_{90}\rightarrow Y^{168}_{80}\)

If a proton and anti-proton come close to each other and annihilate, how much energy will be released?