Four statements are given (\(A\) is mass numbers):
\((\mathrm{A})\) The volume of a nucleus is proportional to \(A^{1/3}.\)
\((\mathrm{B})\) The volume of a nucleus is proportional to \(A.\)
\((\mathrm{C})\) The difference in mass of an atom and its nucleus is called the mass defect.
\((\mathrm{D})\) The difference in mass of a nucleus and its constituents is called the mass defect.
Choose the correct answer from the options given below.
1. \((\mathrm{B})\) and \((\mathrm{D})\) are True but \((\mathrm{A})\) and \((\mathrm{C})\) are False
2. \((\mathrm{A})\) and \((\mathrm{D})\) are True, but \((\mathrm{B})\) and \((\mathrm{C})\) are False
3. \((\mathrm{A})\) and \((\mathrm{C})\) are True, but \((\mathrm{B})\) and \((\mathrm{D})\) are False 
4. \((\mathrm{B})\) and \((\mathrm{C})\) are True but \((\mathrm{A})\) and \((\mathrm{D})\) are False
Subtopic:  Mass-Energy Equivalent |
 55%
Level 3: 35%-60%
NEET - 2026
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The energy equivalent of one atomic mass unit is:
1. \(1.6\times 10^{-19}~\text{J}\)
2. \(6.02\times 10^{23}~\text{J}\)
3. \(931~\text{MeV}\)
4. \(9.31~\text{MeV}\)

Subtopic:  Mass-Energy Equivalent |
 83%
Level 1: 80%+
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The rest energy of an electron is:
1. \(510\) KeV 2. \(931\) KeV
3. \(510\) MeV 4. \(931\) MeV
Subtopic:  Mass-Energy Equivalent |
Level 3: 35%-60%
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The energy equivalent of \(0.5~\text g\) of a substance is:
1. \(4.5\times10^{13}~\text J\) 2. \(1.5\times10^{13}~\text J\)
3. \(0.5\times10^{13}~\text J\) 4. \(4.5\times10^{16}~\text J\)
Subtopic:  Mass-Energy Equivalent |
 65%
Level 2: 60%+
NEET - 2020
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If an electron and a positron annihilate, then the energy released is:
1. \(3.2\times 10^{-13}~\text{J}\)
2. \(1.6\times 10^{-13}~\text{J}\)
3. \(4.8\times 10^{-13}~\text{J}\)
4. \(6.4\times 10^{-13}~\text{J}\)

Subtopic:  Mass-Energy Equivalent |
 65%
Level 2: 60%+
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A certain mass of Hydrogen is changed to Helium by the process of fusion. The mass defect in the fusion reaction is \(0.02866\) u. The energy liberated per nucleon is: (Given \(1\) u = \(931\) MeV)
1. \(26.7\) MeV 2. \(6.675\) MeV
3. \(13.35\) MeV 4. \(2.67\) MeV
Subtopic:  Mass-Energy Equivalent |
 53%
Level 3: 35%-60%
AIPMT - 2013
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Calculate the \(Q\text-\)value of the nuclear reaction:
\(2~{ }_{6}^{12} \mathrm{C}\rightarrow{ }_{10}^{20} \mathrm{Ne}+{ }_2^4 \mathrm{He}\)
The following data are given:
\(m({ }_{6}^{12} \mathrm{C})=12.000000~\text{amu}\)
\(m({ }_{10}^{20} \mathrm{Ne})=19.992439~\text{amu}\)
\(m({ }_{2}^{4} \mathrm{He})=4.002603~\text{amu}\)
1. \(3.16~\text{MeV}\)
2. \(5.25~\text{MeV}\)
3. \(3.91~\text{MeV}\)
4. \(4.65~\text{MeV}\)

Subtopic:  Mass-Energy Equivalent |
 57%
Level 3: 35%-60%
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If a proton and anti-proton come close to each other and annihilate, how much energy will be released?

1. \(1.5 \times10^{-10}~\text{J}\) 2. \(3 \times10^{-10}~\text{J}\)
3. \(4.5 \times10^{-10}~\text{J}\) 4. None of these
Subtopic:  Mass-Energy Equivalent |
 57%
Level 3: 35%-60%
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