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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Which of the following pairs of nuclei are isotones?
1. \({}_{34}^{74}\mathrm{Se}, {}_{31}^{71}\mathrm{Ca}\) 2. \({}_{42}^{92}\mathrm{Mo}, {}_{40}^{92}\mathrm{Zr}\)
3. \({}_{38}^{81}\mathrm{Sr}, {}_{38}^{86}\mathrm{Sr}\) 4. \({}_{20}^{40}\mathrm{Ca}, {}_{16}^{32}\mathrm{S}\)
Subtopic:  Nuclear Binding Energy |
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The binding energy of deuteron is \(2.2\) MeV and that of \({}_{2}^{4}\mathrm{He}\) is \(28\) MeV. If two deuterons are fused to form one \({}_{2}^{4}\mathrm{He}\) then the energy released is:
1. \(25.8\) MeV 2. \(23.6\) MeV
3. \(19.2\) MeV 4. \(30.2\) MeV
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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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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The binding energy per nucleon of deuterium and helium atom is \(1.1\) MeV and \(7.0\) MeV. If two deuterium nuclei fuse to form a helium atom, the energy released is:
1. \(19.2\) MeV
2. \(23.6\) MeV
3. \(26.9\) MeV 
4. \(13.9\) MeV
Subtopic:  Nuclear Binding Energy |
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In a fission reaction,
\(^{236}_{92}\mathrm{U}\rightarrow ~^{117}\mathrm{X}~+~^{117}\mathrm{Y}~+~^1_0n~+~^1_0n,\) the binding energy per nucleon of \(\mathrm{X}\) and \(\mathrm{Y}\) is \(8.5\) MeV whereas that of \(^{236}\mathrm{U}\) is \(7.6\) MeV. The total energy liberated will be about:
1. \(2000\) MeV
2. \(200\) MeV
3. \(2\) MeV 
4. \(1\) keV

Subtopic:  Nuclear Binding Energy |
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The mass of a proton is \(1.0073\) u and that of a neutron is \(1.0087\) u (u = atomic mass unit). The binding energy of \({}_{2}^{4}\mathrm{He}\) is: (Given: helium nucleus mass ≈ \(4.0015\) u)
1. \(0.0305\) J 2. \(0.0305\) erg
3. \(28.4\) MeV 4. \(0.061\) u
Subtopic:  Nuclear Binding Energy |
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If \(M(A,Z)\)\(M_p\) and \(M_n\) denote the masses of the nucleus \({}_{Z}^{A}\mathrm{X}\), proton, and neutron respectively in units of u (\(1\) u = \(931.5\) MeV/c2) and \(BE\) represents its binding energy in MeV, then:
1. \(M(A, Z)=ZM_p+(A-Z) M_n-B E / c^2\)
2. \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE}\)
3. \(M(A, Z)=ZM_p+(A-Z) M_n-B E\)
4. \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE/c}^2 \)
Subtopic:  Nuclear Binding Energy |
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In the reaction \({}_{1}^{2}\mathrm{H}+ {}_{1}^{3}\mathrm{H}\rightarrow {}_{2}^{4}\mathrm{He}+ {}_{0}^{1}\mathrm{n}\)
if the binding energies of \({}_{1}^{2}\mathrm{H}, {}_{1}^{3}\mathrm{H},\) and \({}_{2}^{4}\mathrm{He}\) are respectively \(a,b,\) and \(c\) (in MeV), then the energy in (MeV) released in this reaction is:
1. \(c+a-b\)
2. \(c-a-b\)
3. \(a+b​​​​+c\)
4. \(a+b-c\)

Subtopic:  Nuclear Binding Energy |
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