1.a. Show how the de Broglie hypothesis for the wavelength of an electron can lead to an explanation of the condition for quantization of orbital angular momentum in the Bohr model for hydrogen atom.
b. Show that the frequency of the radiation emitted by an electron in the hydrogen atom when it makes transition from the n+1 state to the n state given by:
f(n, n+1) = mk2e4 (2n+1) / 4Πh3 n2(n+1)2 where k is the Coulomb constant, and m and e are the mass and charge of the electron, respectively.
c. Show that for a very large n, the above frequency becomes equal to the orbital frequency of the electron. What principle does this result illustrate?