(a) One method of producing neutrons for experimental use is bombardment of light nuclei with alpha particles. In the method used by James Chadwick in $1932,$ alpha particles emitted by polonium are incident on beryllium nuclei:
$$ _{2} \mathrm{He}+_{4}^{9} \mathrm{Be} \rightarrow_{6}^{12} \mathrm{C}+_{0}^{1} \mathrm{n} $$ What is the $Q$ value of this reaction? (b) Neutrons are also often produced by small-particle accelerators. In one design, deuterons accelerated in a Van de Graaff generator bombard other deuterium nuclei and cause the reaction $$ _{1}^{2} \mathrm{H}+_{1}^{2} \mathrm{H} \rightarrow_{2}^{3} \mathrm{He}+_{0}^{1} \mathrm{n} $$ Calculate the Q value of the reaction. (c) Is the reaction in part (b) exothermic or endothermic?