| Assertion (A): | Binding energy per nucleon for nuclei (atomic number \(30\) to \(107\)) is independent of atomic number. | 
| Reason (R): | Nuclear force is short-range force. | 
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). | 
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). | 
| 3. | (A) is True but (R) is False. | 
| 4. | Both (A) and (R) are False. | 
| 1. | triton energy is less than that of a \(\mathrm{He}^{3}\) nucleus. | 
| 2. | the electron created in the beta decay process cannot remain in the nucleus. | 
| 3. | both the neutrons in Triton have to decay simultaneously resulting in a nucleus with \(3\) protons, which is not a \(\mathrm{He}^{3}.\) nucleus. | 
| 4. | free neutrons decay due to external perturbations which is absent in the Triton nucleus. | 
| (a) | nuclear forces have short-range. | 
| (b) | nuclei are positively charged. | 
| (c) | the original nuclei must be completely ionized before fusion can take place. | 
| (d) | the original nuclei must first break up before combining with each other. | 
| 1. | (a) and (c) | 2. | (a) and (d) | 
| 3. | (b) and (d) | 4. | (a) and (b) | 
Given the following particle masses:
\(m_p=1.0072~\text{u}\) (proton)
\(m_n=1.0087~\text{u}\) (neutron)
\(m_e=0.000548~\text{u}\) (electron)
\(m_\nu=0~\text{u}\) (antineutrino)
\(m_d=2.0141~\text{u}\) (deuteron)
Which of the following processes is allowed, considering the conservation of energy and momentum?
| 1. | \(n+p \rightarrow d+\gamma\) | 
| 2. | \(e^{+}+e^{-} \rightarrow \gamma\) | 
| 3. | \(n+n\rightarrow \text{}\) deuterium atom (electron bound to the nucleus) | 
| 4. | \(p \rightarrow n+e^{+}+\nu\) | 
| 1. | kinetic energy | 2. | mass | 
| 3. | momentum | 4. | all the above | 
| 1. | the outermost atomic shell | 
| 2. | the innermost atomic shell | 
| 3. | the conduction band | 
| 4. | the nucleus | 
| 1. | \(_2\mathrm{He}^4\) | 2. | \(_3\mathrm{Li}^8\) | 
| 3. | \(_4\mathrm{Be}^8\) | 4. | \(_8\mathrm{O}^{16}\) |