Wavelength limits of the Lyman and Paschen series of Hydrogen

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

    Use the Bohr theory to find the series wavelength limits of the Lyman and Paschen series of hydrogen.

    2. Relevant equations

    [tex]\lambda[/tex]=[tex]\lambda[/tex]limit(n2)/(n2-n02)

    Lyman: n0=1
    Paschen: n0=3

    3. The attempt at a solution

    The solutions are 91.13 nm (Lyman) and 820.1 nm (Paschen) but I do not know the process of finding them.

    Thanks for any help.
     
  2. jcsd
  3. gabbagabbahey

    gabbagabbahey 5,011
    Homework Helper
    Gold Member

    There's another equation relating the wavelength of an emitted photon to the quantum numbers [itex]n[/itex] and [itex]n_0[/itex]...use that equation and take the limit as [itex]n\to\infty[/itex] (why does this provide the limiting value of [itex]\lambda[/itex]?:wink: )
     
  4. Followed your hint; got the answer. Much appreciation.

    Thanks again,
    Jim
     
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