1) A particle of mass, m, trapped in a 1-d box of length, L,has energies with: En = (h^2 pi^2/ 2mL2) x n^2
a. What is theground state energy if the length of the box is 10-10 m(roughly the size of a hydrogen atom) and the particle in questionis an electron? Express your answer in eV. You should find that theenergy is of the same order (a factor of a few) the energy of aHydrogen atom. This is not a coincidence.
b. What is the firstexcited state of this system?
c. What is the wavelengthcorresponding to the "Lyman-Alpha" transition of thissystem?
d. What type of radiation is this?