Solving Bohr Radii and Energy with U=1/2*k*r^2

[smithjones]

Homework Statement

An electron moves along a circular orbit in the potential U=1/2*k*r^2. Using Bohr's quantization condition, find the permissible orbital radii and energy levels of the electron

Homework Equations

L=mvr=n*hbar

The Attempt at a Solution

Will someone put me on the correct path. I understand how the coulomb force is used to derive the radii of the H atom, but I do not understand how to incorporate the given pot. fct.
Thanks!

 

[olgranpappy]

Homework Statement

An electron moves along a circular orbit in the potential U=1/2*k*r^2. Using Bohr's quantization condition, find the permissible orbital radii and energy levels of the electron

Homework Equations

L=mvr=n*hbar

The Attempt at a Solution

Will someone put me on the correct path. I understand how the coulomb force is used to derive the radii of the H atom, but I do not understand how to incorporate the given pot. fct.
Thanks!

incorporate the given potential in the following way:

Do everything exactly as for the coulomb force, but instead of using the coulomb force use:
$$\vec F=-\hat r \frac{d U}{dr}\;.$$

 

[smithjones]

Thanks I will give it a shot

 

[olgranpappy]

ok. good luck.