# The radionuclide $$^{11}_{6}C$$ decays according to $$^{11}_{6}C \rightarrow ~^{11}_{5}B+e^{+}+\nu$$: $$\left(T_{\frac{1}{2}}=20.3~\text{min}\right)$$ The maximum energy of the emitted position is $$0.960~\text{MeV}$$. Given the mass values: $$m\left(_{6}^{11}C\right) = 11.011434~\text{u}~\text{and}~ m\left(_{6}^{11}B\right) = 11.009305~\text{u},$$ The value of $$Q$$ is: 1. $$0.313~\text{MeV}$$ 2. $$0.962~\text{MeV}$$ 3. $$0.414~\text{MeV}$$ 4. $$0.132~\text{MeV}$$

Subtopic:  Nuclear Binding Energy |
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The nucleus ${}_{10}{}^{23}\mathrm{Ne}$ decays by β emission. What is the maximum kinetic energy of the electrons emitted? Given that:

(${}_{10}{}^{23}Ne$) = 22.994466 u

(${}_{11}{}^{23}Na$) = 22.989770 u.

1. 4.201 MeV
2. 3.791 MeV
3. 4.374 MeV
4. 3.851 MeV

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The fission properties of ${}_{94}{}^{239}Pu$ are very similar to those of ${}_{92}{}^{235}U$. The average energy released per fission is 180 MeV. How much energy, in MeV, is released if all the atoms in 1 kg of pure ${}_{94}{}^{239}Pu$ undergo fission?

1. $$2.5\times 10^{25}$$
MeV
2. $$4.5\times 10^{25}$$ MeV
3. $$2.5\times 10^{26}$$ MeV
4.
$$4.5\times 10^{26}$$ MeV

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A 1000 MW fission reactor consumes half of its fuel in 5.00 yr. How much ${}_{92}{}^{235}U$ did it contain initially? Assume that the reactor operates 80% of the time, that all the energy generated arises from the fission of, ${}_{92}{}^{235}U$ and that this nuclide is consumed only by the fission process.

1. 4386 kg.
2. 3076 kg.
3. 4772 kg.
4. 8799 kg.

Subtopic:  Nuclear Energy |
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How long can an electric lamp of $$100$$ W be kept glowing by fusion of $$2.0$$ kg of deuterium? Take the fusion reaction as:
$${}_{1}^{2}\mathrm{H}+{}_{1}^{2}\mathrm{H}\rightarrow {}_{2}^{3}\mathrm{He}+ n + 3.27~\text{MeV}$$
 1 $$4.9 \times 10^{4} \text{ years }$$ 2 $$2.8 \times 10^{4} \text { years }$$ 3 $$3.0 \times 10^{4} \text { years }$$ 4 $$3.9 \times 10^{4} \text { years }$$
Subtopic:  Nuclear Energy |
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What is the height of the potential barrier for a head-on collision of two deuterons? (Assume that they can be taken as hard spheres of radius 2.0 fm.)

1. 300 keV
2. 360 keV
3. 376 keV
4. 356 keV

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The neutron separation energy is defined as the energy required to remove a neutron from the nucleus. The neutron separation energies of the nuclei $$_{20}^{41}\mathrm{Ca}$$ is:
Given that:
\begin{aligned} & \mathrm{m}\left({ }_{20}^{40} \mathrm{C a}\right)=39.962591~ \text{u}\\ & \mathrm{m}\left({ }_{20}^{41} \mathrm{C a}\right)=40.962278 ~\text{u} \end{aligned}

1. $$7.657~\text{MeV}$$
2. $$8.363~\text{MeV}$$
3. $$9.037~\text{MeV}$$
4. $$9.861~\text{MeV}$$

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Consider the fission of $$_{92}^{238}\mathrm{U}$$ by fast neutrons. In one fission event, no neutrons are emitted and the final end products, after the beta decay of the primary fragments, are $${}_{58}^{140}\mathrm{Ce}$$ and $${}_{44}^{99}\mathrm{Ru}$$. What is $$Q$$ for this fission process? The relevant atomic and particle masses are:
$$\mathrm m\left(_{92}^{238}\mathrm{U}\right)= 238.05079~\text{u}$$

$$\mathrm m\left(_{58}^{140}\mathrm{Ce}\right)= 139.90543~\text{u}$$
$$\mathrm m\left(_{44}^{99}\mathrm{Ru}\right)= 98.90594~\text{u}$$
1. $$303.037~\text{MeV}$$
2. $$205.981~\text{MeV}$$
3. $$312.210~\text{MeV}$$
4. $$231.007~\text{MeV}$$

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Consider the D–T reaction (deuterium-tritium fusion)

What is the energy released in MeV in this reaction from the data?

m(${}_{1}{}^{2}H$)=2.014102 u

m(${}_{2}{}^{4}He$) =4.002603 u

m(n)=1.00867 u

m(${}_{1}{}^{3}H$) =3.016049 u

1. 17.59 MeV
2. 18.01 MeV
3. 20.03 MeV
4. 19.68 MeV

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The energy released by the fusion of $$1.0~\text{kg}$$ of hydrogen deep within the Sun is:
1. $$39.1495 \times 10^{26}~\text{MeV}$$
2. $$35.106 \times 10^{26}~\text{MeV}$$
3. $$33.106 \times 10^{26}~\text{MeV}$$
4. $$37.106 \times 10^{26}~\text{MeV}$$

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