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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The wavelength of an X-ray beam is \(10 ~\mathring{\mathrm{A}}\). The mass of a fictitious particle having the same energy as that of the X-ray photons is \(\frac{x~\text{h}}{3} \) kg. The value of \(x\) is: (h = Planck's constant)
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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