Determine the expectation value of r for the electron of an excited hydrogen atom if it is in a 4f orbital. The normalized radial function for 4f is 3/2 1 R,(r) = eiha,. You can leave your answer in terms of ao. 64V7!( a, a 3b) Estimate the rotational kinetic energy of the electron described in part "a." Recall from general physics that rotational kinetic energy is given by E = .Assume that a 21 %3D rot good estimate for the moment of inertia in this case is given by 1 = m(r). You can leave your answer in symbolic form or provide a numerical answer. Erot = c) Estimate the fraction of the average kinetic energy for the electron described in part "a" that is due to rotational kinetic energy? (The average kinetic energy is just the expectation value.) Fraction =