Bohr radii and energy

  • Thread starter smithjones
  • Start date
  • #1

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!
 

Answers and Replies

  • #2
olgranpappy
Homework Helper
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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:
[tex]
\vec F=-\hat r \frac{d U}{dr}\;.
[/tex]
 
  • #3
Thanks I will give it a shot
 
  • #4
olgranpappy
Homework Helper
1,271
3
ok. good luck.
 

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