Show that the quantization of angular momentum implies that the kinetic energy of the electron is quantized as K=nhforb/2, where forb is the frequency of rotation. Assume circular orbit.
arad = v2/r = (4π2r/T = 2*π*v/Tr = nħ
KE = mv2/2
We have covered the Bohr model of the atom, as well as the Rutherford model.
The Attempt at a Solution
I did a bunch of moving around of variables and have been able to get to the following expressions, but not the one I need:
K = m*arad*vforb/2nh = ½mnħr = vmforb/4π
Your input is much appreciated!