Q10

$^{27}_{12}\mathrm{Mg}$ can decay by beta-minus emission to one of two possible excited states of $^{27}_{13}\mathrm{Al}$. Both excited states decay by emission of a gamma photon directly to the ground state.

The diagram below shows the energy levels and two routes for the beta decay.

One route results in the emission of a gamma photon with a higher frequency than the other photon.

What is the kinetic energy for the beta particle emitted in this route?
(A) $1.33\times10^{-13}\ \mathrm{J}$
(B) $1.63\times10^{-13}\ \mathrm{J}$
(C) $2.55\times10^{-13}\ \mathrm{J}$
(D) $2.85\times10^{-13}\ \mathrm{J}$