The two OH stretches in hydrogen peroxide (HaOOHb) can be modeled as two symmetric uncoupled harmonic oscillators. The energies for this two-dimensional system are given by the following equation: Enanb=(21+na+nb) where na=0,1,2, and nb=0,1,2, correspond to the quantum numbers for OHa and O Hb stretches, respectively. (The hydrogen atoms are essentially identical; we are just labeling them "a" and "b" for clarity.) (a) What is the lowest possible energy of the system? Report a set of quantum numbers for which the system has the lowest energy and determine the degeneracy of this energy level. (b) Repeat part (a) for the energy level associated with energy 23. (c) Repeat part (a) for the energy level associated with energy 25. (d) What is the general expression for the degeneracy for the energy level associated with energy 2(2a+1), where a=0,1,2