Q. No.Two nuclei have their mass numbers in the ratio of \(1:3.\) The ratio of their nuclear densities would be:
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)
The binding energy of deuteron is \(2.2~\text{MeV}\) and that of \(_2\mathrm{He}^{4}\) is \(28~\text{MeV}\). If two deuterons are fused to form one \(_{2}\mathrm{He}^{4}\), then the energy released is:
1. \(25.8~\text{MeV}\)
2. \(23.6~\text{MeV}\)
3. \(19.2~\text{MeV}\)
4. \(30.2~\text{MeV}\)
If \(M(A,~Z)\), \(M_p\), and \(M_n\) denote the masses of the nucleus \(^{A}_{Z}X,\) proton, and neutron respectively in units of \(u\) \((1~u=931.5~\text{MeV/c}^2)\) and represent its binding energy \((BE)\) in \(\text{MeV}\). Then:
| 1. | \(M(A, Z) = ZM_p + (A-Z)M_n- \dfrac{BE}{c^2}\) |
| 2. | \(M(A, Z) = ZM_p + (A-Z)M_n+ BE\) |
| 3. | \(M(A, Z) = ZM_p + (A-Z)M_n- BE\) |
| 4. | \(M(A, Z) = ZM_p + (A-Z)M_n+ \dfrac{BE}{c^2}\) |
\({ }_{\mathrm{Z}}^{\mathrm{A}} \mathrm{X} \rightarrow { }_{\mathrm{Z}+1}^{\mathrm{A}} \mathrm{Y}\rightarrow { }_{\mathrm{Z-1}}^{\mathrm{A-4}} \mathrm{B}\rightarrow { }_{\mathrm{Z-1}}^{\mathrm{A-4}} \mathrm{B}\) the particles emitted in the sequence are:
| 1. | \(\beta, \alpha, \gamma\) | 2. | \( \gamma, \beta, \alpha\) |
| 3. | \(\beta, \gamma,\alpha\) | 4. | \(\alpha,\beta, \gamma\) |
| 1. | Binding energy per nucleon is practically constant for nuclei with mass numbers between \(30\) and \(170\). |
| 2. | Binding energy per nucleon is maximum for \(_{56}\mathrm{Fe}\) (equal to \(8.75~\text{MeV}\)). |
| 3. | Binding energy per nucleon for \(_{6}\mathrm{Li}\) is lower compared to \(_{4}\mathrm{He}\). |
| 4. | Higher the binding energy per nucleon, the more unstable is the nucleus. |
If the mass of\({ }_2^4 \mathrm{He}\) is \(4.0026\) amu, mass of a proton is \(1.0073\) amu and the mass of a neutron is \(1.0087\) amu, then the binding energy of \({ }_2^4 \mathrm{He}\) is equivalent to:
1. \(0.0294\) amu
2. \(0.0588\) amu
3. \(0.1176\) amu
4. \(0.0147\) amu
\(A\rightarrow B+_{2}^{4}\mathrm{He}\)
\(B\rightarrow C+2e^{-}\)
Then:
| 1. | \(A\) and \(C\) are isotopes |
| 2. | \(A\) and \(C\) are isobars |
| 3. | \(A\) and \(B\) are isotopes |
| 4. | \(A\) and \(B\) are isobars |
A nuclear reaction given by; \({ }_{Z}^{A} ~{X} \rightarrow{ }_{Z+1}^{A} {Y}+e^{-}+\bar{v}\) represents:
| 1. | fusion | 2. | fission |
| 3. | \(\beta^{-} \)decay | 4. | \(\gamma^{-}\)decay |
| 1. | mass number reduced by \(2\) |
| 2. | mass number reduces by \(6\) |
| 3. | atomic number is reduced by \(2\) |
| 4. | atomic number remains unchanged |
Atoms have different atomic numbers as well as different mass numbers but have the same number of neutrons is called:
| 1. | isotopes | 2. | isobars |
| 3. | isotones | 4. | isodiaphers |
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