Find n using Bohr model

  • #1
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Homework Statement


A hydrogen atom in an excited state absorbs a photon of wavelength 410 nm. What were the initial and final states of the hydrogen atom.


Homework Equations


Rydberg equation:
[tex]\frac{1}{λ}=R_∞(\frac{1}{n{_l}{^2}}-\frac{1}{n{_u}{^2}})[/tex]


The Attempt at a Solution


Plugging that wavelength into the equation, I still have two unknowns; the lower n and the upper n. Would finding the frequency help? I don't see any equations I could use that would help me find one of those n's.

Thanks
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Homework Statement


A hydrogen atom in an excited state absorbs a photon of wavelength 410 nm. What were the initial and final states of the hydrogen atom.


Homework Equations


Rydberg equation:
[tex]\frac{1}{λ}=R_∞(\frac{1}{n{_l}{^2}}-\frac{1}{n{_u}{^2}})[/tex]


The Attempt at a Solution


Plugging that wavelength into the equation, I still have two unknowns; the lower n and the upper n. Would finding the frequency help? I don't see any equations I could use that would help me find one of those n's.

Thanks

No, you can't find one of those n's. You'll have to guess until you find a good match. Try n1=1 first, figure out why that can't work. Then try n1=2. Then you should be able to find pretty good value of n2 just by guessing. I don't know any other way to play this game.
 
  • #3
590
48
No, you can't find one of those n's. You'll have to guess until you find a good match. Try n1=1 first, figure out why that can't work. Then try n1=2. Then you should be able to find pretty good value of n2 just by guessing. I don't know any other way to play this game.

Oh ok thanks. I thought about guessing, but thought that was a pretty inelegant way to do it, so I assumed there must have been another way. Guess not.

Thanks.
 

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