I need help on this problem that asks me to solve for [tex]n_1[/tex] and [tex]n_2[/tex] (the initial and final quantum numbers).(adsbygoogle = window.adsbygoogle || []).push({});

This is the given information (the line spectra for Hydrogen):

color red known wavelength: 656.4 nm

color turquoise known wavelength: 486.3 nm

purple wavelength: 434.2 nm

purple wavelength: 410.3 nm

[tex]n_1[/tex] and [tex]n_2[/tex] are unknown for each one.

I've tried using this equation, the Rydberg Equation, to solve for [tex]n_1[/tex] and [tex]n_2[/tex]:

[tex] \frac {1}{\lambda} = (R_H)(\frac {1}{n^2_2} - \frac {1}{n^2_2})[/tex]

where [tex]\lambda[/tex] is the wavelength, [tex]n_1[/tex] and [tex]n_2[/tex] are the initial and final principal quantum numbers, with the initial one being larger than the final one. [tex] R_H[/tex] is Ryberg's constant.

I've plugged in the numbers and (for the color red) I got

[tex]\frac {1}{656.4} = \frac {R_H}{n^2_1} - \frac{R_H}{n^2_2}[/tex]

I still can't find n1 and n2. Am I using the right formula? I just couldn't understand how to solve a problem with 2 variables.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Line spectra

**Physics Forums | Science Articles, Homework Help, Discussion**