Model the beta decay reaction n p + e + v e as the abrupt creation

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Model the beta decay reaction n → p + e + v̅as the abrupt  creation of an electron at t = 0 with constant velocity v = cβ.
(a) Find the angular distribution of energy radiated per unit frequency, dI/dΩ. Use θ for the angle between v  and the observation point.  
(b) Show that the total energy radiated per unit frequency is

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(c) The fact that dI/dΩ and I (ω) are independent of frequency implies that the total amount of energy radiated is infinite. How must our model of beta decay be corrected to eliminate this unphysical behavior?

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