Emission Spectra and the Rydberg Equation

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A student collected diffraction data from a lamp with known emission wavelengths of 425nm, 565nm, 600nm, and 700nm, which corresponded to positions on her spectroscope at 32mm, 59mm, 63mm, and 69mm. She calibrated her spectroscope using these measurements and then observed another lamp with an emission line at 55mm. The discussion emphasizes the need to relate line position with wavelength to determine the wavelength of the new emission line. Participants suggest posting the question in the appropriate homework subforum for more detailed assistance. The focus is on understanding how to apply the Rydberg equation to find the unknown wavelength.
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A student collects diffraction data using a lamp with known emission wavelengths of 425nm, 565nm, 600nm, and 700nm. These lines appeared on her spectroscope at 32mm, 59mm, 63mm, and 69mm (all measured from the same arbitrary 0mm position). With these data she is able to calibrate her spectroscope, and using this calibrated spectroscope she observes another lamp that has an emission line at 55mm.

What is the wavelength of this emission line? (Tip: how can you relate line position with wavelength?)
 
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This looks like a homework question. If so, please post in the homework subforum.
 
Yes, please do that. The "Introductory Physics" subforum of "Homework & Coursework Questions" is the appropriate place:

https://www.physicsforums.com/forumdisplay.php?f=153

Use the template that you see when you start a new thread there, and show at least some work or thoughts about the problem.
 

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