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Wavelength limits of the Lyman and Paschen series of Hydrogen

by Jadehaan
Tags: hydrogen, limits, lyman, paschen, series, wavelength
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Jadehaan
#1
Oct11-09, 05:28 PM
P: 24
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.
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gabbagabbahey
#2
Oct12-09, 06:36 AM
HW Helper
gabbagabbahey's Avatar
P: 5,003
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]? )
Jadehaan
#3
Oct13-09, 12:33 PM
P: 24
Followed your hint; got the answer. Much appreciation.

Thanks again,
Jim


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