Two stable isotopes of lithium $^{6}_{3}\mathrm{Li}$ and $^{7}_{3}\mathrm{Li}$ have respective abundances of $7.5\%$ and $92.5\%$. These isotopes have masses $6.01512~\text{u}$ and $7.01600~\text{u}$, respectively. The atomic mass of lithium is:
1. $6.940934~\text{u}$
2. $6.897643~\text{u}$
3. $7.863052~\text{u}$
4. $7.167077~\text{u}$

The three stable isotopes of neon: ${}_{10}{}^{20}Ne, {}_{10}{}^{21}Ne, and {}_{10}{}^{22}Ne$ have respective abundances of 90.51%, 0.27%, and 9.22%. The atomic masses of the three isotopes are 19.99 u, 20.99 u, and 21.99 u, respectively. The average atomic mass of neon is:

1. 20.1709 u
2. 21.7037 u
3. 20.1771 u
4. 21.0097 u

What is the binding energy (in MeV) of a nitrogen nucleus ${}_7{}^{14}N$?

$\mathrm{Given},$
${\mathrm{m}}_{\mathrm{p}} = 1.007825 \mathrm{u}$
${\mathrm{m}}_{\mathrm{n}} = 1.008665 \mathrm{u}$
$\mathrm{m}\left({}_7{}^{14}\mathrm{N}\right) = 14.003074 u$

1. 102.7 MeV.
2. 100.7 MeV.
3. 104.7 MeV.
4. 108.7 MeV.

A given coin has a mass of $3.0~\text g.$ The nuclear energy required to separate all the neutrons and protons from each other will be:
(for simplicity assume that the coin is entirely made of ${}^{63}_{29}\mathrm{Cu}$ atoms of mass $62.92960~\text u,$ the mass of proton $m_p=1.00783~\text u,$ and the mass of neutron $m_n=1.00867 ~\text u$)
1. $2.5296\times10^{12}~\text{MeV}$
2. $1.581\times10^{25}~\text{MeV}$  
3. $3.1223\times10^{20}~\text{MeV}$
4. $931.02\times10^{19}~\text{MeV}$

The approximately nuclear radii ratio of the gold isotope ${}_{79}{}^{197}Au$ and the silver isotope ${}_{47}{}^{107}Ag$ is:

1. 1:1.23
2. 1:1.32
3. 1.01:1
4. 1.22:1

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. $0.132~\text{MeV}$

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

m (${}_{10}{}^{23}Ne$) = 22.994466 u

m (${}_{11}{}^{23}Na$) = 22.989770 u.

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

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

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.