How Does Bohr's Hypothesis Predict Energy Levels in Harmonic Oscillators?

[bon]

Homework Statement

Show that bohr's hypothesis (that a particle's angular momentum must be an integer multiple of h/2pi) when applied to the three dimensional harmonic oscillator, predicts energy levels E=lh/pi w with l = 1,2,3. Is there an experiment that would falsify this prediction?

Homework Equations

The Attempt at a Solution

Hmm not sure how to approach this..

So for a harmonic oscillator E = 1/2 m v^2 + 1/2 k x^2...but how do i arrive at their result!?

Also what experiment would falsify?

Thanks

 

[bon]

Anyone able to help with this? Not sure how to proceed...

 

[bon]

pleasseeeee?