\(M_n~\text{and}~M_p\) 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. \(M =N\left \{M_n+M_p \right \}\)

Subtopic:  Nuclear Binding Energy |
 83%
Level 1: 80%+
AIPMT - 2001
Hints

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 |
 77%
Level 2: 60%+
AIPMT - 2003
Hints

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.
Subtopic:  Nuclear Binding Energy |
 56%
Level 3: 35%-60%
AIPMT - 2003
Hints

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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 |
 79%
Level 2: 60%+
AIPMT - 2004
Hints

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 |
 91%
Level 1: 80%+
AIPMT - 2004
Hints

\(M_p\) 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. \(M(N,Z)= NM_n+ZM_p- Bc^2\)

Subtopic:  Nuclear Binding Energy |
 87%
Level 1: 80%+
AIPMT - 2004
Hints

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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 |
 77%
Level 2: 60%+
AIPMT - 2005
Hints