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Q. No.
Imagine that a reactor converts all given mass into energy and that it operates at a power level of \(10^{9}~\text{W}.\) The mass of the fuel consumed per hour in the reactor will be:
(velocity of light, \(c=3\times10^8~\text{m/s}) \)
1. \(4\times10^{-2}~\text{gm} \)
2. \(6.6\times10^{-5}~\text{gm} \)
3. \(0.8~\text{gm} \)
4. \(0.96~\text{gm} \)
Subtopic:  Mass-Energy Equivalent |
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In a reactor, \(2\) kg of \({ }_{92} \mathrm{U}^{235}\) fuel is fully used up in \(30\) days. The energy released per fission is \(200\) MeV. Given that the Avogadro number, \(\mathrm{N}=6.023 \times 10^{26} \) per kilo mole and \(1~ \mathrm{eV}=1.6 \times 10^{-19}~\text{J}\). The power output of the reactor is close to:
1. \(125 ~\text{MW}\)
2. \(60~\text{MW}\)
3. \(35 ~\text{MW}\)
4. \(54 ~\text{MW}\)

Subtopic:  Mass-Energy Equivalent |
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Given the following particle masses:
\(m_p=1.0072~\text{u}\) (proton)
\(m_n=1.0087~\text{u}\) (neutron)
\(m_e=0.000548~\text{u}\) (electron)
\(m_\nu=0~\text{u}\) (antineutrino)
\(m_d=2.0141~\text{u}\) (deuteron)
Which of the following processes is allowed, considering the conservation of energy and momentum?

1. \(n+p \rightarrow d+\gamma\)
2. \(e^{+}+e^{-} \rightarrow \gamma\)
3. \(n+n\rightarrow \text{}\) deuterium atom (electron bound to the nucleus)
4. \(p \rightarrow n+e^{+}+\nu\)
Subtopic:  Mass-Energy Equivalent |
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An \(\mathrm{X} \text-\)ray beam has a wavelength of \(10 ~\mathring{A}.\) A fictitious particle has the same energy as that of an \(\mathrm{X} \text-\)ray photon. If the mass of this particle is expressed as \(m=\dfrac{xh}{3}~\text{kg}, \) where \(h\) is Planck’s constant, what is the value of \(x\)?

1. \(15\) 2. \(10\)
3. \(20\) 4. \(25\)
Subtopic:  Mass-Energy Equivalent |
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The energy equivalent of 1 g of substance is :
1. \(11.2 \times 10^{24} \mathrm{MeV}\)
2. \(5.6 \times 10^{26} \mathrm{MeV}\)
3. \(5.6 \mathrm{eV}\)
4. \(5.6 \times 10^{12} \mathrm{MeV}\)
Subtopic:  Mass-Energy Equivalent |
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A nucleus with number \(184\) initially at rest emits an \(\alpha\text-\)particle. If the \(Q\) value of the reaction is \(5.5~\text{MeV},\) then the kinetic energy of the \(\alpha\text-\)particle is:
1. \(5.5~\text{MeV}\)
2. \(5.38~\text{MeV}\)
3. \(5.0~\text{MeV}\)
4. \(0.12~\text{MeV}\)
Subtopic:  Mass-Energy Equivalent |
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A nucleus of mass \(M\) splits into three equal-mass nuclei, and the total mass defect is \(\Delta m.\) If all the three daughter nuclei move with the same speed and all the energy from the mass defect is converted into their kinetic energy, what is the speed of each fragment?
1. \(c \sqrt{\dfrac{6 \Delta m}{(M-\Delta m)}} \) 2. \(c \sqrt{\dfrac{2 \Delta m}{(M-\Delta m)}}\)
3. \(c \sqrt{\dfrac{3 \Delta m}{(M-\Delta m)}}\) 4. \(c \sqrt{\dfrac{\Delta m}{(M-\Delta m)}} \)
Subtopic:  Mass-Energy Equivalent |
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The mass defect in a nuclear reaction is \(0.4 ~\text U.\) The \(Q\) value of the reaction is:
(Take \(1~\text U=930.5~\text{MeV/c}^2) \)
1​​. \(\dfrac{3722}{10}~\text{MeV}\)

2. \(\dfrac{3622}{10}~\text{MeV}\)

3. \(\dfrac{4722}{10}~\text{MeV}\)

4. \(\dfrac{4622}{10}~\text{MeV}\)
Subtopic:  Mass-Energy Equivalent |
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The correct products of the reaction \({ }_{92}^{235} \mathrm{U}+{ }_0^1 n \longrightarrow \)     : are 
1. \({ }_{56}^{141} \mathrm{Ba}+{ }_{36}^{92} \mathrm{Kr}+3{ }_0^1 \mathrm{n} \) 2. \({ }_{56}^{141} \mathrm{Ba}+{ }_{36}^{92} \mathrm{Kr}+4{ }_0^1 \mathrm{n} \)
3. \({ }_{10}^{20} \mathrm{Ne}+{ }_{51}^{122} \mathrm{Sb}+3{ }_0^1 \mathrm{n} \) 4. \({ }_{10}^{20} \mathrm{Ne}+{ }_{51}^{122} \mathrm{Sb}+4{ }_0^1 \mathrm{n} \)
Subtopic:  Mass-Energy Equivalent |
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Three helium nuclei fuse at high temperatures to form a carbon nucleus. If the masses of a helium nucleus and a carbon nucleus are \(4.0002~\text{amu}\) and \(12~\text{amu},\) respectively, what is the energy released during the process?
1. \( 0.18~\text{MeV}\) 2. \(0.56~\text{MeV}\)
3. \(0.10~\text{MeV}\) 4. \(21.3~\text{keV}\)
Subtopic:  Mass-Energy Equivalent |
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