The nth-state energy of hydrogen can be obtained by solving the Schrdinger equation for Coulomb potential: En=22me(40e2)2n21, where me is the mass of the electron me=9.1091031kg,e is the charge of the electron e=1.6021019C, is the reduced Planck constant =1.0551034Js,0 is the vacuum permittivity 0=8.8541012Fm1. (a) Compute the ground state energy E1. Note that this is also the energy needed to ionize hydrogen. (10 points) (b) How much mass is lost when a proton and an electron fuse into a hydrogen atom? (10 points) (c) When the electron jumps from higher energy levels to the second energy level (n=2), the emmited light spectrum is called the Lyman series. Compute the wavelengths of the first three spectral lines. (15 points) (d) Are these lights visible? (5 points)