Two deuterons undergo nuclear fusion to form a helium nucleus. The energy released in this process is:
(given binding energy per nucleon for deuteron \(=1.1~\text{MeV}\) and for helium \(=7.0~\text{MeV})\) 
1. \(19.2~\text{MeV}\)
2. \(23.6~\text{MeV}\)
3. \(26.9~\text{MeV}\)
4. \(13.9~\text{MeV}\)
Subtopic:  Nuclear Binding Energy |
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Given that the masses of a proton, a neutron, and the nucleus of \({ }_{50}^{120} \mathrm{Sn}\) are \(1.00783~\mathrm{u},\) \(1.00867~\mathrm{u},\) and \(119.902199~ \mathrm{u},\) respectively. The binding energy per nucleon of the tin nucleus is: \((1~\text{u}=931~\text{Mev})\)

1. \(9~\text{MeV}\) 2. \(8.5~\text{MeV}\)
3. \(8.0~\text{MeV}\) 4. \(7.5~\text{MeV}\)
Subtopic:  Nuclear Binding Energy |
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Nucleus \(A\) is having mass number \(220\) and its binding energy per nucleon is \(5.6~\text{MeV}.\) It split into two fragments \(B\) and \(C\) of mass numbers \(105\) and \(115.\) The binding energy of nucleons in \(B\) and \(C\) is \(6.4~\text{MeV}\) per nucleon. The energy \(Q\) released per fission will be:
1. \(0.8~\text{MeV}\)
2. \(275~\text{MeV}\)
3. \(220~\text{MeV}\)
4. \(176~\text{MeV}\)
Subtopic:  Nuclear Binding Energy |
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The \(Q\text-\)value of a nuclear reaction and the kinetic energy of the projectile particle, \(K_p\) are related as:
1. \(Q= K_p\)
2. \((K_p+ Q)<0\)
3. \(Q<K_p\)
4. \((K_p+ Q)>0\)
Subtopic:  Nuclear Binding Energy |
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Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below:
\({ }_{1}^{2} \mathrm{X}+{ }_{1}^{2} \mathrm{X}={ }_{2}^{4} \mathrm{Y}\)
The binding energies per nucleon for \({ }_{1}^{2} \mathrm{X} \text { and }{ }_{2}^{4} \mathrm{Y}\) are \(1.1~\text{MeV}\) and \(7.6~\text{MeV}\) respectively. The energy released in this process is:
1. \(26~\text{MeV}\)
2. \(34~\text{MeV}\)
3. \(42~\text{MeV}\)
4. \(24~\text{MeV}\)
Subtopic:  Nuclear Binding Energy |
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An atom of atomic mass \(242,\) having binding energy per nucleon \(8.4\) MeV, breaks into two atoms of atomic mass \(121\) (each with binding energy per nucleon of \(7.1\) MeV). What would be the absolute \(Q\)-value of the reaction?
1. \(150\) MeV 2. \(314.6\) MeV
3. \(208.4\) MeV 4. \(290.8\) MeV
Subtopic:  Nuclear Binding Energy |
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For the given radioactive decay reaction:
\(^{298}_{94}X \rightarrow ^{294}_{92}Y + { ^{4}_{2}\alpha} + Q\text-\text {value}\),
where the binding energy per nucleon of \(X,Y \) and \(\alpha\) are denoted by \(a, b \) and \(c\) respectively.
The expression for the \(Q\)-value is:
1. \((294 b +4c - 298 a)\)
2. \((92 b +2c - 94 a)\)
3. \((294 b +4c + 298 a)\)
4. \((92 b +2c + 94 a)\)
Subtopic:  Nuclear Binding Energy |
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Given below are two statements:
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.
Subtopic:  Nuclear Binding Energy |
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In the given reaction, find the value of \({Q}\) Value.
\({ }_6 \mathrm{C}^{13} \longrightarrow {}_6\mathrm{C}^{12}+{ }_0 n^1+(Q\text{-value})\)
 Given: mass of \({ }_6 \mathrm{C}^{13} \Rightarrow x\)
 mass of \({ }_6 \mathrm{C}^{12} \Rightarrow y\)
 mass of \({ }_0 n^1 \Rightarrow z\)
1. \(({y}+{x}-{z} )~{c}^2\)
2. \(({y}+{z}-{x} )~{c}^2\)
3. \(({y}+{z}+{x} )~{c}^2\)
4. \(({z}+{x}-{y} )~{c}^2\)
Subtopic:  Nuclear Binding Energy |
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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. \(\mathrm{2\mu g}\)
Subtopic:  Nuclear Binding Energy |
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