A h2 molecule can be approximated by a simple harmonic

Question

Solve the all part of given problem:

Problem: A H2 molecule can be approximated by a simple harmonic oscillator having spring constant k= 1.1 x 10³³ N/m.

Part 1: Find the energy levels?

Part 2: Find the possible wavelengths of photons emitted when the H2 molecule decays from the third excited state eventually to the ground state?

Show all work, use additional paper if necessary.