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\(M_n~\text{and}~M_p\) represent the mass of the neutron and proton respectively. An element having mass \(M\) has \(N\) neutrons and \(Z\)-protons, then the correct relation will be:
1. \(M <\left \{N.M_n+Z.M_p \right \}\)
2. \(M >\left \{N.M_n+Z.M_p \right \}\)
3. \(M =\left \{N.M_n+Z.M_p \right \}\)
4. \(M =N\left \{M_n+M_p \right \}\)

Q1:
 80% From NCERT AIPMT - 2001
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
Q2:
 75% From NCERT AIPMT - 2003
Subtopic:  Nuclear Binding Energy |
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The mass number of a nucleus is:

1. always less than its atomic number.
2. always more than its atomic number.
3. sometimes equal to its atomic number.
4. sometimes less than and sometimes more than its atomic number.
Q3:
 53% From NCERT AIPMT - 2003
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. \( m_3=\left ( m_1+m_2 \right ) \)
Q4:
 78% From NCERT AIPMT - 2004
Subtopic:  Nuclear Binding Energy |
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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
Q5:
 90% From NCERT AIPMT - 2004
Subtopic:  Nuclear Binding Energy |
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\(M_p\) denotes the mass of a proton and \(M_n\) 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. \(M(N,Z)= NM_n+ZM_p+ Bc^2\)
2. \(M(N,Z)= NM_n+ZM_p-\frac{B}{c^2}\)
3. \(M(N,Z)= NM_n+ZM_p+\frac{B}{c^2}\)
4. \(M(N,Z)= NM_n+ZM_p- Bc^2\)

Q6:
 87% From NCERT AIPMT - 2004
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. \(a+b-c\)
Q7:
 75% From NCERT AIPMT - 2005
Subtopic:  Nuclear Binding Energy |
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