Emission Spectra and the Rydberg Equation

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SUMMARY

The discussion focuses on the calibration of a spectroscope using known emission wavelengths of 425nm, 565nm, 600nm, and 700nm, which correspond to positions of 32mm, 59mm, 63mm, and 69mm respectively. The student successfully calibrates her spectroscope and observes an emission line at 55mm. To determine the wavelength of this emission line, one must establish a relationship between the measured line positions and their corresponding wavelengths, likely through linear interpolation or a similar method.

PREREQUISITES
  • Understanding of emission spectra and their significance in spectroscopy
  • Familiarity with the Rydberg equation and its application in calculating wavelengths
  • Knowledge of linear interpolation techniques for data analysis
  • Experience with using spectroscopes for measuring wavelengths
NEXT STEPS
  • Research the Rydberg equation and its applications in spectral analysis
  • Learn about linear interpolation methods for estimating unknown values
  • Explore calibration techniques for spectroscopic instruments
  • Investigate the principles of diffraction and how they relate to emission spectra
USEFUL FOR

This discussion is beneficial for students in physics, particularly those studying spectroscopy, as well as educators and anyone interested in the practical application of the Rydberg equation in analyzing emission spectra.

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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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