Question

Describe the Bohr quantum conditions in terms of the wave theory: demonstrate that an electron in a hydrogen atom can move only along those round orbits which accommodate a whole number of de Broglie waves.

Answer 1

The Bhor condition
`oint p d x=oint(2pi ħ)/(lambda)d x= 2 pi n ħ`
For the case when `lambda` is constant (for example in circular orbits) this means
`2pi r=n lambda`
Here `r` is the radius of the circular orbit.