A source contains two phosphorus radio nuclides ${}^{32}\mathrm{P} \left(T_{\frac{1}{2}}=14.3 \mathrm{d}\right)$ and ${}^{33}\mathrm{P} \left(T_{\frac{1}{2}}=25.3 \mathrm{d}\right)$. Initially, $10.0\%$ of the decays come from ${}^{33}\mathrm{P}$. How long must one wait until $95.0\%$ do so?

An $\mathrm{\alpha }$ particle $\left({}^4\mathrm{He}\right)$ nucleus is to be taken apart in the following steps. Give the energy (work) required for each step: (a) remove a proton, (b) remove a neutron and (c) separate the remaining proton and neutron. For an $\mathrm{\alpha }$ particle, what are (d) the total binding energy and (e) the binding energy per nucleon? (f) Does either match an answer to (a), (b) or (c)? Here are some atomic masses and the neutron mass:

${}^4\mathrm{He}=4.00260\mathrm{u}\text{,} {}^2\mathrm{H}=2.01410\mathrm{u}\text{,} {}^3\mathrm{H}=3.01605\mathrm{u}\text{,} {}^1\mathrm{H}=1.00783\mathrm{u}\text{,} \mathrm{n}=1.00867\mathrm{u}$