Estimate diffraction angle - homemade spectrometer

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SUMMARY

The discussion focuses on estimating the diffraction angle using a homemade spectrometer constructed from a 30cm cardboard tube, duct tape, and a diffraction grating. The relevant equation for calculating the diffraction angle is ΔΘ=2λ/b, where b represents the slit width. The user expresses uncertainty about the accuracy of their estimates for the slit width and wavelength, particularly when using white light. Clarifications are sought regarding the proper usage of the spectrometer and the expected diffraction pattern.

PREREQUISITES
  • Understanding of basic optics principles, specifically diffraction.
  • Familiarity with the equation ΔΘ=2λ/b for calculating diffraction angles.
  • Knowledge of how to construct a simple spectrometer using common materials.
  • Experience with interpreting diffraction patterns from a grating.
NEXT STEPS
  • Research the properties of diffraction gratings and their impact on light spectra.
  • Learn about the relationship between slit width and diffraction patterns.
  • Explore methods for accurately measuring slit width and wavelength in experiments.
  • Investigate alternative designs for homemade spectrometers for improved accuracy.
USEFUL FOR

Students in physics, hobbyists interested in optics, and educators looking to demonstrate diffraction principles through hands-on experiments.

Jon.G
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Homework Statement


Estimate the diffraction angle.
The spectrometer is made from rolling up a 30cm long piece of cardboard into a tube. Duct tape is placed over one end, and a thin slit is made. The other end has a diffraction grating held in place.
I look through the diffraction grating and can see the slit and 8 spectra, going away from the slit. (as if there's one at each corner and halfway along each side of a square)

Homework Equations


ΔΘ=2λ/b for b>>λ
b is slit width

The Attempt at a Solution


I'm not sure if there's another way to do this.
Using this equation, I'd just be taking estimates that could be way off for the slit width and the wavelength (just using white light).
But then the task does say to estimate, so it could be ok.

Thanks for your time.
 
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If your diffraction grating has slits, I don't see how you get the pattern you described.
Are you sure that you looking through the tube is the intended way to use the spectrometer?
 
Does your spectrometer look something like the one described here ?
 

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