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Q. No.The binding energy per nucleon of \({ }_{83}^{209}\mathrm{Bi}~\) is: (in MeV)
[Take \({m}\left({ }_{83}^{209}\mathrm{Bi}\right)=208.980388~\text{u}, {m}_{p}=1.007825 ~\text{u}, {m}_{n}=1.008665 ~\text{u}, 1 \text{u}=931 ~\text{MeV/c}^2\)]
1. \(7.48\)
2. \(7.84\)
3. \(8.79\)
4. \(6.94\)
[Take \({m}\left({ }_{83}^{209}\mathrm{Bi}\right)=208.980388~\text{u}, {m}_{p}=1.007825 ~\text{u}, {m}_{n}=1.008665 ~\text{u}, 1 \text{u}=931 ~\text{MeV/c}^2\)]
1. \(7.48\)
2. \(7.84\)
3. \(8.79\)
4. \(6.94\)
Subtopic: Nuclear Binding Energy |
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The energy released if hydrogen atoms are combined to form \({}^{4}_{2}\mathrm{He}\) is: (in \(\text{MeV}\))
(Take binding energies per nucleon of \({ }_1^2 \mathrm{H} \text { and }{ }_2^4 \mathrm{He}\) as \(1.1~ \text{MeV} \text { and } 7.2 ~\text{MeV} \text {,}\) respectively)
1. \(6.1\)
2. \(24.4\)
3. \(26.6\)
4. \(5\)
(Take binding energies per nucleon of \({ }_1^2 \mathrm{H} \text { and }{ }_2^4 \mathrm{He}\) as \(1.1~ \text{MeV} \text { and } 7.2 ~\text{MeV} \text {,}\) respectively)
1. \(6.1\)
2. \(24.4\)
3. \(26.6\)
4. \(5\)
Subtopic: Nuclear Binding Energy |
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Assuming the experimental mass of \({ }_6^{12} \mathrm{C}\) as \(12~\text{u}\), the mass defect of \({ }_6^{12} \mathrm{C}\) atom is: (in \(\text{MeV/c}^2\))
(Mass of proton =\(1.00727~\text{u}\). mass of neutron =\(1.00866~\text{u}\), \(1~\text{u}=931.5~\text{MeV/c}^2\) and \(c\) is the speed of light in vacuum).
1. \(127.5\)
2. \(89.03\)
3. \(272.0\)
4. \(92.0\)
(Mass of proton =\(1.00727~\text{u}\). mass of neutron =\(1.00866~\text{u}\), \(1~\text{u}=931.5~\text{MeV/c}^2\) and \(c\) is the speed of light in vacuum).
1. \(127.5\)
2. \(89.03\)
3. \(272.0\)
4. \(92.0\)
Subtopic: Nuclear Binding Energy |
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Two radioactive substance \(A\) and \(B\) of mass numbers \(200\) and \(212\) respectively, shown spontaneous \(\alpha\text-\)decay with same \(Q\) value of \(1~\text{MeV}.\) The ratio of energies of \(\alpha\text-\)rays produced by \(A\) and \(B\) is:
1. \(\dfrac{2548}{2650}\)
2. \(\dfrac{2706}{2646}\)
3. \(\dfrac{2597}{2600}\)
4. \(\dfrac{2862}{2499}\)
1. \(\dfrac{2548}{2650}\)
2. \(\dfrac{2706}{2646}\)
3. \(\dfrac{2597}{2600}\)
4. \(\dfrac{2862}{2499}\)
Subtopic: Types of Decay |
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Two nuclei of mass number \(3\) combine with another nucleus of mass number \(4\) to yield a nucleus of mass number \(10\). If the binding energy per nucleon for the mass numbers \(3,4\) and \(10\) are \(5.6~\text{MeV},~7.4~\text{MeV}\)
1. \(6.9\)
2. \(7.9\)
3. \(2.2\)
4. \(4.3\)
1. \(6.9\)
2. \(7.9\)
3. \(2.2\)
4. \(4.3\)
Subtopic: Nuclear Binding Energy |
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The minimum frequency of a photon required to break a particle of mass \(15.348\) amu into \(4\alpha\) particles is__________ kHz:
[mass of \(\mathrm{He}\) nucleus = \(4.002~ \text{amu}\),
\(1\) amu = \(1.66\times10^{-27} \text{kg}, \text{h} =6.6\times 10^{-34} ~\text{J.s}\) and \(3\times10^{-8} ~\text{m/s}]\)
1. \(9\times10^{19}\) kHz
2. \(9\times10^{20}\) kHz
3. \(14.94\times10^{20}\) kHz
4. \(14.94\times10^{19}\) kHz
[mass of \(\mathrm{He}\) nucleus = \(4.002~ \text{amu}\),
\(1\) amu = \(1.66\times10^{-27} \text{kg}, \text{h} =6.6\times 10^{-34} ~\text{J.s}\) and \(3\times10^{-8} ~\text{m/s}]\)
1. \(9\times10^{19}\) kHz
2. \(9\times10^{20}\) kHz
3. \(14.94\times10^{20}\) kHz
4. \(14.94\times10^{19}\) kHz
Subtopic: Mass-Energy Equivalent |
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Which of the following pair of nuclei are isobars of the element?
1. \({ }_1^2 \mathrm{H} \text { and }{ }_1^3 \mathrm{H}\)
2. \({ }_{92}^{236} \mathrm{U} \text { and }{ }_{92}^{238} \mathrm{U}\)
3. \({ }_{80}^{198} \mathrm{Hg} \text { and }{ }_{79}^{197} \mathrm{Au}\)
4. \({ }_1^3 \mathrm{H} \text { and }{ }_2^3 \mathrm{He}\)
1. \({ }_1^2 \mathrm{H} \text { and }{ }_1^3 \mathrm{H}\)
2. \({ }_{92}^{236} \mathrm{U} \text { and }{ }_{92}^{238} \mathrm{U}\)
3. \({ }_{80}^{198} \mathrm{Hg} \text { and }{ }_{79}^{197} \mathrm{Au}\)
4. \({ }_1^3 \mathrm{H} \text { and }{ }_2^3 \mathrm{He}\)
Subtopic: Nucleus |
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The average energy released per fission for the nucleus of \({ }_{92}^{235} \mathrm{U}\) is \(190\) MeV. When all the atoms of \(47\) g pure \({ }_{92}^{235} \mathrm{U}\) undergo fission process, the energy released is \(\alpha \times 10^{23}\) MeV. The value of \(\alpha\) is:
(Avogadro Number \(= 6\times 10^{23}\) per mole)
1. \(220\)
2. \(228\)
3. \(210\)
4. \(230\)
(Avogadro Number \(= 6\times 10^{23}\) per mole)
1. \(220\)
2. \(228\)
3. \(210\)
4. \(230\)
Subtopic: Nuclear Energy |
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Given below are two statements:
In the light of the above statements, choose the correct answer from the options given below:
| Statement I: | For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon. |
| Statement II: | For all elements, nuclei with less binding energy per nucleon transforms to nuclei with greater binding energy per nucleon. |
| 1. | Both Statement I and Statement II are True |
| 2. | Statement I is True but Statement II is False |
| 3. | Both Statement I and Statement II are False |
| 4. | Statement I is False but Statement II is True |
Subtopic: Nuclear Binding Energy |
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The binding energy for the following nuclear reactions are expressed in \(\text {MeV}.\)
\({ }_2 \mathrm{He}^3+{ }_0 \mathrm{n}^1 \rightarrow{ }_2 \mathrm{He}^4+20 ~\text{MeV}\)
\({ }_2 \mathrm{He}^4+{ }_0 \mathrm{n}^1 \rightarrow{ }_2 \mathrm{He}^5-0.9 ~\text{MeV}\)
If \(X_3, X_4, X_5\) denote the stability of \({}_2\mathrm{He}^3, {}_2\mathrm{He}^4\) and \({}_2\mathrm{He}^5,\) respectively, then the correct order is:
1. \(X_4>X_5>X_3\)
2. \(X_4=X_5=X_3\)
3. \(X_4>X_5<X_3\)
4. \(X_4<X_5<X_3\)
\({ }_2 \mathrm{He}^3+{ }_0 \mathrm{n}^1 \rightarrow{ }_2 \mathrm{He}^4+20 ~\text{MeV}\)
\({ }_2 \mathrm{He}^4+{ }_0 \mathrm{n}^1 \rightarrow{ }_2 \mathrm{He}^5-0.9 ~\text{MeV}\)
If \(X_3, X_4, X_5\) denote the stability of \({}_2\mathrm{He}^3, {}_2\mathrm{He}^4\) and \({}_2\mathrm{He}^5,\) respectively, then the correct order is:
1. \(X_4>X_5>X_3\)
2. \(X_4=X_5=X_3\)
3. \(X_4>X_5<X_3\)
4. \(X_4<X_5<X_3\)
Subtopic: Nuclear Binding Energy |
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