A nucleus with mass number \(240\) breaks into fragments each of mass number \(120\). The binding energy per nucleon of unfragmented nuclei is \(7.6~\text{MeV}\) while that of fragments is \(8.5~\text{MeV}\). The total gain in the binding energy in the process is:
1. \(804~\text{MeV}\)
2. \(216~\text{MeV}\)
3. \(0.9~\text{MeV}\)
4. \(9.4~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 63%
From NCERT
NEET - 2021
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The Binding energy per nucleon of \(^{7}_{3}\mathrm{Li}\) and \(^{4}_{2}\mathrm{He}\) nucleon are \(5.60~\text{MeV}\) and \(7.06~\text{MeV}\), respectively. In the nuclear reaction \(^{7}_{3}\mathrm{Li} + ^{1}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He} + ^{4}_{2}\mathrm{He} +Q\), the value of energy \(Q\) released is:
1. \(19.6~\text{MeV}\)
2. \(-2.4~\text{MeV}\)
3. \(8.4~\text{MeV}\)
4. \(17.3~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 65%
From NCERT
AIPMT - 2014
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The mass of a Li37 nucleus is \(0.042~\text{u}\) less than the sum of the masses of all its nucleons. The binding energy per nucleon of the Li37 nucleus is near:
1. \(4.6~\text{MeV}\)
2. \(5.6~\text{MeV}\)
3. \(3.9~\text{MeV}\)
4. \(23~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 72%
From NCERT
AIPMT - 2010
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The binding energy per nucleon in deuterium and helium nuclei are \(1.1\) MeV and \(7.0\) MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is:
1. \(2.2\) MeV
2. \(28.0\) MeV
3. \(30.2\) MeV
4. \(23.6\) MeV

Subtopic:  Nuclear Binding Energy |
 82%
From NCERT
AIPMT - 2010
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A nucleus ZXA has a mass represented by \(M(A, Z).\) If \(M_P\) and \(M_n\) denote the mass of proton and neutron respectively and BE the binding energy, then:

1. BE=[M(A,Z)-ZMp-(A-Z)Mn]c2

2. BE=[ZMp+(A-Z)Mn-M(A, Z)]c2

3. BE=[ZMp+AMn-M-(A, Z)]c2

4. BE=M(A, Z)-ZMp-(A-Z)Mn

Subtopic:  Nuclear Binding Energy |
 82%
From NCERT
AIPMT - 2007
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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. \(30.2~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 73%
From NCERT
AIPMT - 2006
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In the reaction \({ }_1^2 \mathrm{H}+{ }_1^3 \mathrm{H} \longrightarrow{ }_2^4 \mathrm{He}+{ }_0^1 n \) , if the binding energies of \({ }_1^2 \mathrm{H},~_1^3 \mathrm{H} ~\text{and}~_2^4\mathrm{H}\) He are respectively \(a,b\) and \(c\) (in MeV,) then the energy (in MeV) released in this reaction is:
1. \(a+b+c\)
2. \(c+a-b\)
3. \(c-a-b\)
4. \(a+b-c\)
Subtopic:  Nuclear Binding Energy |
 75%
From NCERT
AIPMT - 2005
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If in a nuclear fusion process. the masses of the fusing nuclei be \(m_1\) and \(m_2\) and the mass of the resultant nucleus be \(m_3,\) then:
1. \( m_3=\left|m_1-m_2 \right|\) 2. \( m_3<\left ( m_1+m_2 \right ) \)
3. \( m_3>\left ( m_1+m_2 \right ) \) 4. \( m_3=\left ( m_1+m_2 \right ) \)
Subtopic:  Nuclear Binding Energy |
 78%
From NCERT
AIPMT - 2004
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A nucleus represented by the symbol \({}_{Z}^{A}\mathrm{X}\) has:
1. \(Z\) protons and \(A-Z\) neutrons
2. \(Z\) protons and \(A\) neutrons
3. \(A\) protons and \(Z-A\) neutrons
4. \(Z\) neutrons and \(A-Z\) protons
Subtopic:  Nuclear Binding Energy |
 90%
From NCERT
AIPMT - 2004
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MP denotes the mass of a proton and Mn that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by:
(c is the velocity of light )

1. M(N, Z) = NMn + ZMP + Bc2

2. M(N, Z) = NMn + ZMP – B/c2

3. M(N, Z) = NMn + ZMP + B/c2

4. M(N, Z) = NMn + ZMP – Bc2

Subtopic:  Nuclear Binding Energy |
 87%
From NCERT
AIPMT - 2004
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