The following will require some very rough knowledge of quantum mechanics. Recall that 75. can act as a conversion factor between energy and frequency and has the same units as angular momentum. Consider a gas of molecular hydrogen H2. We want to estimate the temperature above which the rotational transitions of H2 become excited. That is, the temperature above which the rotations of the hydrogen molecule act as \"degrees of freedom\" for the purposes of equipartition. (c) First, what is the energy of a system with angular momentum L and moment of inertia I? What is the moment of inertia roughly for a \"barbell' with two equal masses of mass m separated by a length L? The angular momentum is quantized which accounts for the energy levels. What roughly are the units of angular momentum quantization? What is the length scale of a hydrogen atom (essentially the Bohr radius, which serves as an estimate of the length of the bond)? Putting everything together, what is the separation of quantized energies? Use this to nd the relevant temperature T