Harmonic Oscillators in Thermal Equilibrium to 28 12 An oscillator with frequency f-2.3x10Hz (about typical for a greenhouse gas molecule) is in equilibrium with a thermal reservoir at temperature T. The spacing between the energy levels of the oscillator is given by ?-hf, where h = 6.626×10-34 J*sec 1) For what temperature does P1/Po 1/2, where P1 is the probability that the oscillator has E-E (the first excited state) and Po is the probability that it has E 0 (the lowest energy state)? K Submit 2) If T is 10% of the value you calculated in part 1), what is the ratio P1 /P0? P1 / Po- Submit 3) At the temperature of part 2), what is the ratio P2/P1, where P2 is the probability that the oscillator is in the second excited state (E -2E)? P2/P1- Submit 4) Now suppose you have a large number of these oscillators (such as in a solid). At the temperature of parts 2) and 3), what is the average thermal energy per oscillator divided by kT? That is, calculate /kT. (Equipartition would have this ratio be 1, but that's not the answer here.)