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 |
 76%
From NCERT
PMT - 2001
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A nuclear reaction along with the masses of the particle taking part in it is as follows;
  \(~~A ~~~~+~~~ B~~~~~ \rightarrow~~~~C ~~+~~~~ D~~~~~ ~~Q~ MeV\\ \small{1.002~~~~~~~~ 1.004 ~~~~~~~~~~~~~1.001~~~~~~~1.003}\\ \small{amu~~~~~~~~~~amu~~~~~~~~~~~~~~amu~~~~~~~~~amu} ~~\)
The energy \(Q\) liberated in the reaction is:
1. \(1.234\) MeV
2. \(0.931\) MeV
3. \(0.465\) MeV
4. \(1.862\) MeV

Subtopic:  Mass-Energy Equivalent |
 75%
From NCERT
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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 |
 73%
From NCERT
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Which of the following is used as a moderator in nuclear reactors? 

1. Plutonium 

2. Cadmium 

3. Heavy water

4. Uranium 

Subtopic:  Nuclear Energy |
 80%
From NCERT
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The stable nucleus that has a radius half of the radius of \(\mathrm{Fe}^{56}\) is:
1. \(\mathrm{Li}^7\)
2. \(\mathrm{Na}^{21}\)
3. \(\mathrm{S}^{16}\)
4. \(\mathrm{Ca}^{40}\)

Subtopic:  Nucleus |
 66%
From NCERT
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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 |
 82%
From NCERT
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In nuclear reaction He24+XZAYZ+2A+3+B, \(\mathrm {B}\) denotes:

1. Electron           

2. Positron

3. Proton               

4. Neutron

Subtopic:  Types of Decay |
 64%
From NCERT
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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 |
 63%
From NCERT
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An atomic nucleus \({}_{90}^{232}\mathrm{Th}\) emits several \(\alpha\) and \(\beta\) radiations and finally reduces to \({}_{82}^{208}\mathrm{Pb}\). It must have emitted:
1. \(4\alpha~\text{and}~2\beta\)
2. \(6\alpha~\text{and}~4\beta\)
3. \(8\alpha~\text{and}~24\beta\)
4. \(4\alpha~\text{and}~16\beta\)

Subtopic:  Types of Decay |
 84%
From NCERT
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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 |
 65%
From NCERT
AIPMT - 2014
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