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 |
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How does the binding energy per nucleon vary with the increase in the number of nucleons?
1.  decrease continuously with mass number.
2. first decreases and then increases with an increase in mass number.
3. first increases and then decreases with an increase in mass number.
4. increases continuously with mass number.
Subtopic:  Nuclear Binding Energy |
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Let \(F_{pp}, F_{pn}~\text{and}~F_{nn}\) denote the magnitudes of the net force by a proton on a proton, by a proton on a neutron and by a neutron on a neutron respectively. Neglect gravitational force. When the separation is \(1~\text{fm}\),

1. \(F_{pp}> F_{pn}=F_{nn}\) 2. \(F_{pp}= F_{pn}=F_{nn}\)
3. \(F_{pp}> F_{pn}>F_{nn}\) 4. \(F_{pp}< F_{pn}=F_{nn}\)
Subtopic:  Nuclear Binding Energy |
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The gravitational force between \(H\text-\)atom and another particle of mass \(m\) will be given by Newton's law \(F=\dfrac{GMm}{r^2},\) where \(r\) is in km and
1. \(M = m_{\text{proton}}+ m_{\text{electron}}.\)
2. \(M = m_{\text{proton}}+ m_{\text{electron}}-\frac{B}{c^2}\left(B= 13.6~\text{eV}\right)\).
3. \(M\) is not related to the mass of the hydrogen atom.
4. \(M = m_{\text{proton}}+ m_{\text{electron}}-\frac{|V|}{c^2}(|V|=\) magnitude of the potential energy of electron in the \(H\text-\)atom).
Subtopic:  Nuclear Binding Energy |
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In an exoergic nuclear reaction (i.e. energy is released in the reaction), let
\(E_1:\) total binding energy of initial nuclei
\(E_2:\) total binding energy of final nuclei
\(A_1:\) total number of nucleons of initial nuclei
\(A_2:\) total number of nucleons of final nuclei
Then:
1.  \(E_1>E_2\)
2.  \(E_2>E_1\)
3.  \(E_1=E_2\)
4.  \(\frac{E_1}{A_1}=\frac{E_2}{A_2}\)
Subtopic:  Nuclear Binding Energy |
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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 |
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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 |
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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 |
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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 |
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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 |
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