1. The problem statement, all variables and given/known data In Bohr's model the allowed paths are those which the angular momentum is quantized by L=ħn and the electromagnetic radiation emission is only by transition through two of them ν=(Ei-Ef)/h. I am asked to use the above assumptions to calculate the energy levels and the frequencies of transitions in a single electron atom. I am then asked to show that in the limit of high quantum numbers the result reduces to the classical one (the correspondence principle). 2. Relevant equations 3. The attempt at a solution I managed to arrive at the expected expression for the energy levels, however I am not sure I explicitly used all the assumptions as instructed. What I did was this: V=-e2/r, |F|=-∇V=e2/r2=mv2/r, hence v2=e2/mr=(nħ/mr)2 En=1/2*mv2-e2/r=-e2/2rn where rn=n2ħ2/me2=-13.6/n2 Does this suffice? Does this after all meet the instructions?