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A neutron with kinetic energy T = 10 MeV activates a nuclear reaction C^12 (n, α) Be^9 whose threshold

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 A neutron with kinetic energy T = 10 MeV activates a nuclear reaction C12 (n, α) Be9 whose threshold is Tth = 6.17 MeV. Find the kinetic energy of the alpha-particles outgoing at right angles to the incoming neutrons' direction. 

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The momentum of incident neutron is  that of α particle is  and of Be9 is

By conservation of energy

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