Solution to 2001 Problem 78


We find the lepton numbers before and after the forbidden decay of the muon into an electron and a single neutrino. The electron and muon numbers are initially 0 and +1 respectively. If the neutrino is a muon neutrino, then the electron and muon numbers are +1 and +1 respectively at the end, which violates conservation of electron number. If the neutrino is not a muon neutrino, then the muon number at the end is 0, which violates conservation of muon number. So, in any case the decay would violate conservation of lepton number. Therefore, answer (E) is correct.


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