Which type of slitted sheet is better for decomposing non-monochromatic light?

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SUMMARY

The discussion centers on the effectiveness of slitted sheets in decomposing non-monochromatic light during diffraction experiments. It is established that a denser slitted sheet is preferable for minimizing the overlap of different order spectra. This is due to the narrower diffraction maxima produced by denser gratings, which helps maintain distinct color separation. The principles of Young's experiment are referenced to illustrate the behavior of monochromatic versus non-monochromatic light in diffraction scenarios.

PREREQUISITES
  • Understanding of diffraction principles, specifically Young's double-slit experiment.
  • Familiarity with the concept of diffraction gratings and their properties.
  • Knowledge of non-monochromatic light and its behavior in optical systems.
  • Basic grasp of the mathematics involved in calculating diffraction patterns.
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  • Explore the differences between dense and less dense diffraction gratings in practical applications.
  • Study the effects of wavelength on diffraction and how it relates to color separation.
  • Investigate experimental setups for measuring diffraction patterns with non-monochromatic light sources.
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We had a lab on diffraction (Young's experience and more) and we are now asked what would be better to decompose a non-monochromatic light: a denser slitted sheet or a less dense one?

I really don't know how to solve this problem... it looks like I need more formulas than what I've currently got...

Any help is appreciated.
 
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Monochromatic light will produce a single diffraction maxima for each order of diffraction. (One on each side, that is.) Non-monochromatic light will produce a spectrum of maxima for each order.

So which grating would better keep different order spectra from overlapping?
 
I guess a dense grating would be better since we would get narrower stripes for each color thus minimizing overlapping and color addition... Am I right?
 

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