Answer: (a) Show that in the Bohr model, the frequency of

Chapter 39, Problem 39.87

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(a) Show that in the Bohr model, the frequency of revolution of an electron in its circular orbit around a stationary hydrogen nucleus is f = me4>4P 2 0 n3 h3 . (b) In classical physics, the frequency of revolution of the electron is equal to the frequency of the radiation that it emits. Show that when n is very large, the frequency of revolution does indeed equal the radiated frequency calculated from Eq. (39.5) for a transition from n1 = n + 1 to n2 = n. (This illustrates Bohrs correspondence principle, which is often used as a check on quantum calculations. When n is small, quantum physics gives results that are very different from those of classical physics. When n is large, the differences are not significant, and the two methods then correspond. In fact, when Bohr first tackled the hydrogen atom problem, he sought to determine as a function of n such that it would correspond to classical results for large n.)