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. \(6.94\)
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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. \(5\)
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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. \(92.0\)
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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 \(5.6~\text{MeV},~7.4~\text{MeV}\) and \(6.1~\text{MeV}\), respectively, then in the process, the value of \(\Delta {Mc}^2\) is: (in MeV)
1. \(6.9\)
2. \(7.9\)
3. \(2.2\)
4. \(4.3\)
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Given below are two statements:
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.
In the light of the above statements, choose the correct answer from the options given below:
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. \(X_4<X_5<X_3\)
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Energy released when two deuterons \((_1\mathrm{H}^2 ) \) fuse to form a helium nucleus \((_2\mathrm{He}^4 ) \) is: (Given: Binding energy per nucleon of \(_1\mathrm{H}^2 \) \(= 1.1 ~\text{MeV}\) and binding energy per nucleon of \(_2\mathrm{He}^4 = 7~\text {MeV} \)
1. \(5.9~\text {MeV} \)
2. \(26.8~\text {MeV} \)
3. \(8.1~\text {MeV} \)
4. \(23.6~\text {MeV} \)
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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A):  The binding energy per nucleon is found to be practically independent of the atomic number \(A,\) for nuclei with mass numbers between \(30\) and \(170.\)
Reason (R): Nuclear force is long range
In the light of the above statements, Choose he correct answer from the options given below: 
 
1. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
2. (A) is false but (R) is true
3. (A) is true but (R) is false
4. Both (A) and (R) are true and (R) is the correct explanation of (A)
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Binding energy of a certain nucleus is \(\mathrm{18\times 10^8J.}\) How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus:
1. \(\mathrm{0.2\mu g}\)
2. \(\mathrm{20\mu g}\)
3. \(\mathrm{10\mu g}\)
4. \(\mathrm{2\mu g}\)
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The disintegration energy \(Q\) for the nuclear fission of \({ }^{235} \mathrm{U} \rightarrow{ }^{140} \mathrm{Ce}+{ }^{94} \mathrm{Zr}+\mathrm{n}\) is:
Given atomic masses:
\({ }^{235} \mathrm{U}: 235.0439 \mathrm{u} ;{ }^{140} \mathrm{Ce} ; 139.9054 \mathrm{u},\)
\({ }^{94} \mathrm{Zr}: 93.9063 \mathrm{u} ; \mathrm{n}: 1.0086 \mathrm{u},\) Value of \(c^2=931 \mathrm{MeV} / \mathrm{u}\).
1. \(208\) MeV
2. \(200\) MeV
3. \(123\) MeV
4. \(99\) MeV
 
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