2. An electron neutrino is produced in a nuclear reaction in the sun, with an energy = 60 KJ. (a) (b) (c) In terms of the neutrino mass eigenstates |}, |12), deseribe the wave function of the neutrino when it is produced. What is the probability of detecting this neutrino as a muon neutrino after it is produced, as a function of time? Give your answer in terms of the energies Ey, Fy of the two neutrino mass eigenstates, and the weak mixing angle 6. The sun is approximately 1.5 x 10* km from earth. Since neutrinos are very light, they travel at velocities roughly the speed of light, i.e. 3x10* m/s. Your neutrino detector finds that upon reaching the earth's surface, 1/9 of these electron neutrinos are detected as muon neutrinos. If the neutrino mass difference obeys (m? m2) = 2.0 x 1079 kg, what is the weak mixing angle 7