A particle confined in a rigid one-dimensional box of length 10 fm has an energy level E_n = 32.9 MeV and an adjacent energy level E_n+1 = 51.4 MeV.
a. Determine the values of n and n + 1.
b. Draw an energy-level diagram showing all energy levels from 1 through n + 1. Label each level and write the energy beside it.
c. Sketch the n + 1 wave function on the n + 1 energy level.
d. What is the wavelength of a photon emitted in the n + 1 → n transition? Compare this to a typical visible-light wavelength.
e. What is the mass of the particle? Can you identify it?