Solved: Value of Infinity for Hydrogen Atom Wavelength

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Homework Help Overview

The discussion revolves around determining the shortest wavelength of light emitted by an electron in the Brackett series of the hydrogen atom. The problem involves applying the Rydberg formula for spectral lines.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of the term "infinity" in the context of the formula, questioning how to handle the term in the equation. There is an exploration of the implications of substituting values close to infinity.

Discussion Status

Participants have provided insights regarding the substitution of zero for the term associated with infinity, indicating a productive exchange of ideas. However, there is no explicit consensus on the approach to take, as the original poster is still seeking clarity.

Contextual Notes

The original poster expresses uncertainty about the correct substitution for infinity in the equation, which is central to solving the problem. The discussion reflects an ongoing exploration of assumptions related to the mathematical treatment of infinity.

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[SOLVED] Value of inifinity?

Edit: typo in title (infinity); sorry

Homework Statement



What is the shortest wavelength of light emitted by an electron in the Brackett series of spectra lines of the hydrogen atom?

Homework Equations



1 / (wavelength) = RH ( (1/nu^2) - (1/nl^2) )

The Attempt at a Solution



1 / (wavelength) = 1.1 x 10^7 ( (1/4^2) - (1/(infinity?)^2) )

I am told the correct answer is 1.45 x 10^-6, but I cannot find it on my calculator because I am not sure what to put in the place of infinity.

Thanks!
 
Last edited:
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One over a number infinitely close to infinity is infinitely close to zero. Just put in zero for the second term.
 
The value of 1/x tends to zero as x tends to infinity.So, just put zero in place of 1/n1^2.
 
(Sorry Dick, it seems we were typing at almost the same time.)
 
Thanks guys! :)
 

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