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Find n using Bohr model

  1. Nov 1, 2013 #1
    1. The problem statement, all variables and given/known data
    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.


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


    3. 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
     
  2. jcsd
  3. Nov 2, 2013 #2

    Dick

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    Science Advisor
    Homework Helper

    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.
     
  4. Nov 2, 2013 #3
    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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