Problem 7} [Res and Thornton, Problem 39] [lb] ective: Do some quick calculations to familiarize yourself with the quantum simple harmonic oscillator An H2 molecule can be approximated by a simple harmonic oscillator with a force constant i=1 . lino3 Him. a) Find the energy levels of this molecule. b} Find the possible wavelengths of photons emitted when the H2 molecule decays from the third excited state to the ground state. {'Note: Remember "third" excited means 3 energy levels above the ground state and recall that decays can happen in multiple ways to reach the ground state.)