Unit 7 : Additional Problems#
For those looking for additional problems outside of past exam questions and the worked problems in the lectures please consider the following in the reading list.
Unworked Example : p-p Chain#
Write out the the three reactions that make up the pp chain in the Sun in nuclear physics notation:
\( p + p \to d + e^+ + \nu_e \)
\( d + p \to ^{3}He + \gamma \)
\( ^{3}He + ^{3}He \to ^{4}He + 2p \)
Unworked Example : Alpha Reactions#
If an \( (\alpha,n) \) reaction takes place on the following nuclei, what is the final nucleus in each case?
\( ^{7}Li \)
\( ^{12}C \)
\( ^{63}Cu \)
Unworked Example : Particle Physics Notation#
Write out the following reactions in particle physics notation:
\( ^{63}Cu(\alpha,2n)^{65}Ga \)
\( ^{53}Cr(\alpha,p)^{56}Mn \)
\( ^{34}S(\gamma,p)^{33}P \)
Unworked Example : Additional Q-Values#
Calculate the Q-values for:
\( ^{63}Cu(p,n)^{63}Zn \)
\( ^{59}Co(d,2n+d)^{57}Co \)
\( ^{19}F(\alpha,n)^{22}Na \)
Calculate the Q-values for:
\( ^{22}Na(n,p)^{22}Ne \)
\( ^{23}Na(n,p)^{23}Ne \)
\( ^{12}C(n,\gamma)^{13}C \)
\( ^{13}C(n,2n)^{12}C \)
If you took samples of these isotopes (\( ^{22}Na, ^{23}Na, ^{12}C, ^{13}C \)) and irradiated them with thermal neutrons (\( \sim 0.025 \, \text{eV} \)), which reactions would take place?
Unworked Problem : Medical Isotope Reactions#
The medical isotopes \( ^{32}P \) and \( ^{89}Sr \) are produced in reactors by \( (n,p) \) processes. In each case:
Identify the target nucleus.
Estimate the minimum neutron energy required to initiate the reaction.