The frequency of revolution of an electron in a circular orbit of radius r is frev = v/2Ï€r, where v is the speed.

(a) Show that in the nth stationary state

(b) Show that when n₁ = n, n₂ = n – 1, and n is much greater than 1,

(c) Use your result in part (b) and Equation 37-13 to show that in this case the frequency of radiation emitted equals the frequency of motion. This result is an example of Bohr’s correspondence principle: when n is large, so that the energy difference between adjacent states is a small fraction of the total energy, classical and quantum physics must give the same results.

Transcribed Image Text:

k'Z?e*m 1 2лhз п3 frev 2лh3 n3