Find the wavelength in the lab of grating spectrometer?

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SUMMARY

The discussion focuses on calculating the wavelength of light using a grating spectrometer with a 600 lines/mm grating. The user is attempting to find the wavelength of the first order for a purple line at angles of 15 degrees 30 minutes and 15.5 degrees. The relevant equation used is d sin(θ) = mλ, which was rearranged to λ = d sin(θ)/m. The expected results are wavelengths around 444nm or 436nm, indicating a potential miscalculation in the user's approach.

PREREQUISITES
  • Understanding of grating spectrometers
  • Familiarity with the equation d sin(θ) = mλ
  • Basic trigonometry for angle conversion
  • Knowledge of wavelength measurement in nanometers
NEXT STEPS
  • Review calculations using the grating equation with different angles
  • Learn about angle conversion from degrees and minutes to decimal degrees
  • Explore the impact of grating line density on wavelength calculations
  • Investigate common errors in spectrometer measurements and calculations
USEFUL FOR

Students and educators in physics, laboratory technicians, and anyone involved in optical measurements and spectroscopy.

bamdavis
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I did a lab today using this stuff. I need to learn how to find the wavelength of the 1st order of an unknown filament. My data is
600 lines/mm grating
Purple line
15 degrees 30 minutes, 15.5 degrees

using the equation of d sin (angle) = m (lambda)

im supposed to get something like 444nm or 436nm.

i rearranged the equation as d sin (angle)/m = lambda

im definitely doing something wrong
 
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bamdavis said:
I did a lab today using this stuff. I need to learn how to find the wavelength of the 1st order of an unknown filament. My data is
600 lines/mm grating
Purple line
15 degrees 30 minutes, 15.5 degrees

using the equation of d sin (angle) = m (lambda)

im supposed to get something like 444nm or 436nm.

i rearranged the equation as d sin (angle)/m = lambda

im definitely doing something wrong
Everything looks okay so far. How about doing--and showing us--your calculation?
 

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