consider an atomic nucleus to be equivalent to a one-dimentional infinite potential well. The width of the well is equal to a typical nuclear diameter of 15 femtometers. A neutron in the second excieted state of this well makes a transition to the ground state by the emission of a single photon of light. The mass of a neutron is 1.673*10^27 kg.
a) what is the wavelength of the emitted light? express answer in picometers.
b) When the neutron jumps from the second excited state to the ground state, does the probability of finding the neutron near the center third of the well - between L = 5 fm and L = 10 fm increase, decrease, or remain the same? explain briefly.