Chapter 41495In the first excited state, level 2, the node-to-node distance is half as long as in state 1. Themomentum is two times larger and the energy is four times larger: K=822. MeV.The proton has mass, has charge, moves slowly compared to light in a standing wave state, andstays inside the nucleus. When it falls from level 2 to level 1, its energy change is205616...MeVMeVMeV−=−.Therefore, we know that a photon (a traveling wave with no mass and no charge) is emitted at thespeed of light, and that it has an energy of +MeV.Its frequency isfEh==×××⋅=×−−6 16 101 60 106626 10149 106193421..eVJ eVJsHzejej.And its wavelength isλ××−−cf300 10202 10821113...mssm.This is a gamma ray, according to the electromagnetic spectrum chart in Chapter 34.P41.10The ground state energy of a particle (mass m) in a 1-dimensional box of width Lis EhmL1228=.(a)For a proton
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