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Past exam of the MPhil in nuclear energy course of the University of Cambridge / 2021 / Module NE1 / 1 / a / Solution

Codex (@codex,  0) ... MPhil in nuclear energy course of the University of Cambridge Past exam of the MPhil in nuclear energy course of the University of Cambridge 2021 Module NE1 1 a
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The lighter product receives the fraction 1/(1+m/M) of the two massive products' kinetic energy. Neglecting photon momentum, conservation of momentum gives equal and opposite daughter momenta, pm​=−pM​. In the nonrelativistic approximation,
Km​=2mp2​,KM​=2Mp2​,Km​KM​​=Mm​.
(1)
Hence Kproducts​=Km​(1+m/M) and
Km​=1+m/MKproducts​​.​
(2)
This partitions kinetic energy after any stipulated photon energy has been removed from the available Q value. It does not assign the complete mass-defect energy to the light particle.

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