Physics

Problem

For the reaction

\,_0^1\text n +\;_{5}^{10}\text B \;\rightarrow\;_{3}^{7}\text{Li}+\;_{2}^{4}\text{He}+\gamma

, both the neutron and the boron nucleus are initially at rest. Given masses:

m(_0^1\text n)=1.00866\,\text u,\; m(_{5}^{10}\text B)=10.01294\,\text u,\; m(_{3}^{7}\text{Li})=7.01600\,\text u,\; m(_{2}^{4}\text{He})=4.00260\,\text u,

with

1\,\text u = 931.5\,\text{MeV}/c^2

. (a) Find the Q-value of the reaction. (b) Assuming the kinetic energies of the product nuclei are negligible, calculate the energy (in MeV) carried away by the

\gamma

photon.

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