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A Balmer's Series Problem

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Using Balmer's Series equation: 1/wavelength = R[1/2^2 - 1/n^2] where n = 3,4,5...
What number should be in place of the 2 in the denominator for a spectrum to be emitted in the infrared region?

((There was a sample problem for a red line in the hydrogen spectrum: 1/wavelength = (1.097 x 10^7m^-1)[1/4 - 1/9]. This totalled 656.3 nm, but I cannot figure out how to do this on my calculator??)) Any help will be greatly appreciated!!

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Solution Preview

Please see the attached file.

Check out:
http://en.wikipedia.org/wiki/Rydberg_constant
http://en.wikipedia.org/wiki/Rydberg_formula

We start with the requirement that our wavelength is larger than the minimal infrared ...

Solution Summary

The solution uses the Balmer's series equation to find the spectrum which is to be emitted in the infrared region.

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