Classically, it was expected that an orbiting electron would emit radiation of the same fr...

Classically, it was expected that an orbiting electron would emit radiation of the same frequency as its orbit frequency. We have often noted that classical behavior is observed in the limit of large quantum numbers. Does it work in this case? (a) Show that the photon energy for the smallest possible energy jump at the "low~/i end" of the hydrogen energies is 3|E0|/4, while that for the smallest jump at the "high-n? end" is 2|E0|/n3 where E0 is hydrogen's ground-state energy, (b) Use F = ma to show that the angular velocity of a classical point charge held in orbit about a fixed point charge by the Coulomb force is given by . (c) Given that r=n2 a0, is this angular frequency equal to the minimum-jump photon frequency at either end of hydrogen's allowed energies?