In: Physics
(a) You decided to turn a neutron into a proton. Making sure that the charge is conserved, you wrote down n → p + e-. When you actually did the experiment, an antineutrino came out in addition, making the actual interaction n → p + e -+ ¯ν. Among what needs to be conserved, what was not conserved in the interaction without the antineutrino?
(b) You managed to capture the emitted electron inside of a one-dimensional infinite potential well with width L = 80 pm and got the electron to go to its ground state. What is the probability that the electron can be detected in the left 1/4 of the well (x = 0 to x = L/4)? You may use Z sin2 θdθ = θ/ 2 − sin 2θ /4 + C.