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Protons with kinetic energy T = 1.0 MeV striking a lithium target induce a nuclear reaction

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Protons with kinetic energy T = 1.0 MeV striking a lithium target induce a nuclear reaction p + Li7 →2He4. Find the kinetic energy of each alpha-particle and the angle of their divergence provided their motion directions are symmetrical with respect to that of incoming protons.

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The Q value of the reaction Li7 (p, α) He4 is

Since the direction of He4 nuclei is symmetrical, their momenta must also be equal. Let T be the K.E. of each He4 . Then

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