Question 15.8: Calculate the Q-value of the initial β-decay process shown i...

Calculate the Q-value of the initial β-decay process shown in Fig. 15.9.

15.9
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The Q-value of the β-decay can be calculated using Eq. (15.15). We obtain

Q = [m(^{A} _{Z}X) − m(^{A}_{ Z+1}X^\prime )]c^{2} ,            (15.15)

Q = [m(^{60}_{ 27}Co) − m(^{60}_{28}Ni)]c^{2}

= (59.933822 u − 59.930791 u) (931.5MeV/u)

= 2.82 MeV

Apart for a small correction for the kinetic energy of the recoiling nucleus, the Q-value of the reaction gives the total kinetic energy available to the emitted electron and neutrino.

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