Q. No.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: Â 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: Â Nuclear Binding Energy |
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\(M_x\) and \(M_y\) denote the atomic masses of the parent and the daughter nuclei respectively in radioactive decay. The \(Q\text -\)value for a \(\beta^{-}\) decay is \(Q_1\) and that for a \(\beta^{+}\) decay is \(Q_2.\) If \(m_e\) denotes the mass of an electron, then which of the following statements is correct?
| 1. | \(\small[Q_1=\left(M_x-M_y\right) c^2 \text { and } Q_2=\left[M_x-M_y-2 m_e\right] c^2 \) |
| 2. | \( \small[Q_1=\left(M_x-M_y\right) c^2 \text { and } Q_2=\left(M_x-M_y\right) c^2 \) |
| 3. | \(\small[Q_1=\left(M_x-M_y-2 m_e\right)c^2 \text { and } Q_2=\left(M_x-M_y+2 m_e\right) c^2 \) |
| 4. | \(\small[Q_1=\left(M_x-M_y+2 m_e\right) c^2 \text { and } Q_2=\left(M_x-M_y+2 m_e\right) c^4 \) |
Subtopic: Â Nuclear Binding Energy |
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In an exoergic nuclear reaction (i.e. energy is released in the reaction), let
Then:
1. \(E_1>E_2\)
2. \(E_2>E_1\)
3. \(E_1=E_2\)
4. \(\dfrac{E_1}{A_1}=\dfrac{E_2}{A_2}\)
| 1. | \(E_1\): total binding energy of initial nuclei |
| 2. | \(E_2\): total binding energy of final nuclei |
| 3. | \(A_1\): total number of nucleons of initial nuclei |
| 4. | \(A_2\): total number of nucleons of final nuclei |
1. \(E_1>E_2\)
2. \(E_2>E_1\)
3. \(E_1=E_2\)
4. \(\dfrac{E_1}{A_1}=\dfrac{E_2}{A_2}\)
Subtopic: Â Nuclear Binding Energy |
 52%
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Which of the following statements is incorrect regarding nuclear forces?
| 1. | Nuclear forces are stronger, being roughly a hundred times that of electromagnetic forces. |
| 2. | Nuclear forces have a short-range dominance over a distance of about a few fermis. |
| 3. | Nuclear forces are central forces, independent of the spin of the nucleons. |
| 4. | Nuclear forces are independent of the nuclear charge. |
Subtopic: Â Nuclear Binding Energy |
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Which one of the following statements is not true about nuclear forces?
| 1. | The nuclear force between two nuclei falls rapidly to zero as their distance increases more than a few femtometers (fm). |
| 2. | The nuclear force is much stronger than the coulomb force. |
| 3. | The nuclear force between two nuclei is repulsive for distances larger than \(0.8~\text{fm}.\) |
| 4. | The nuclear forces between neutron-neutron, proton-neutron, and proton-proton are approximately the same. |
Subtopic: Â Nuclear Binding Energy |
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The strong nuclear force between two nucleons:
| 1. | is only attractive force. |
| 2. | is only repulsive force. |
| 3. | maybe attractive or repulsive in nature depending on the distance. |
| 4. | is a central force. |
Subtopic: Â Nuclear Binding Energy |
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The binding energy per nucleon (\(\text{MeV}\)/nucleon) is given below for the following:
\(^*-\) missing data
This data is also represented as a graph plotted against mass number:
After studying the data carefully, answer the following.
The binding energy of an \(\alpha\text-\)particle is:
1. \(7~\text{MeV}\)
2. \(14~\text{MeV}\)
3. \(28~\text{MeV}\)
4. \(0~\text{MeV}\)
| \(^*\mathrm{H}-1.11\) | \(^4\mathrm{He}-7.07\) | \(^{120}\mathrm{Sn}-8.50\) |
| \(^3\mathrm{He}-2.57\) | \(^{12}_6\mathrm{C}-7.68\) | \(^{184}\mathrm{W}-8.01\) |
| \(^*\mathrm{H}-2.83\) | \(^{56}_{26}\mathrm{Fe}-8.79\) | \(^{235}\mathrm{U}-7.59\) |
This data is also represented as a graph plotted against mass number:
After studying the data carefully, answer the following.
The binding energy of an \(\alpha\text-\)particle is:
1. \(7~\text{MeV}\)
2. \(14~\text{MeV}\)
3. \(28~\text{MeV}\)
4. \(0~\text{MeV}\)
Subtopic: Â Nuclear Binding Energy |
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From NCERT
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The binding energy per nucleon (\(\text{MeV}\)/nucleon) is given below for the following:
\(^*-\) missing data
This data is also represented as a graph plotted against mass number:
After studying the data carefully, answer the following.
The binding energy of a proton is:
1. \(1.11~\text{MeV}\)
2. \(2.13~\text{MeV}\)
3. \(1.97~\text{MeV}\)
4. zero
| \(^*\mathrm{H}-1.11\) | \(^4\mathrm{He}-7.07\) | \(^{120}\mathrm{Sn}-8.50\) |
| \(^3\mathrm{He}-2.57\) | \(^{12}_6\mathrm{C}-7.68\) | \(^{184}\mathrm{W}-8.01\) |
| \(^*\mathrm{H}-2.83\) | \(^{56}_{26}\mathrm{Fe}-8.79\) | \(^{235}\mathrm{U}-7.59\) |
This data is also represented as a graph plotted against mass number:
After studying the data carefully, answer the following.
The binding energy of a proton is:
1. \(1.11~\text{MeV}\)
2. \(2.13~\text{MeV}\)
3. \(1.97~\text{MeV}\)
4. zero
Subtopic: Â Nuclear Binding Energy |
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The binding energy per nucleon (\(\text{MeV}\)/nucleon) is given below for the following:
\(^*-\) missing data
This data is also represented as a graph plotted against mass number:
After studying the data carefully, answer the following.
A deuteron splits into a proton and a neutron:
\(^2_1\mathrm H\longrightarrow{^1_1\mathrm H}+{^1_0\mathrm n}\)
The \(Q\)-value of this reaction is:
1. \(+2.83~\text{MeV}\)
2. \(-2.83~\text{MeV}\)
3. \(+2.2~\text{MeV}\)
4. \(-2.2~\text{MeV}\)
| \(^*\mathrm{H}-1.11\) | \(^4\mathrm{He}-7.07\) | \(^{120}\mathrm{Sn}-8.50\) |
| \(^3\mathrm{He}-2.57\) | \(^{12}_6\mathrm{C}-7.68\) | \(^{184}\mathrm{W}-8.01\) |
| \(^*\mathrm{H}-2.83\) | \(^{56}_{26}\mathrm{Fe}-8.79\) | \(^{235}\mathrm{U}-7.59\) |
This data is also represented as a graph plotted against mass number:
After studying the data carefully, answer the following.
A deuteron splits into a proton and a neutron:
\(^2_1\mathrm H\longrightarrow{^1_1\mathrm H}+{^1_0\mathrm n}\)
The \(Q\)-value of this reaction is:
1. \(+2.83~\text{MeV}\)
2. \(-2.83~\text{MeV}\)
3. \(+2.2~\text{MeV}\)
4. \(-2.2~\text{MeV}\)
Subtopic: Â Nuclear Binding Energy |
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