How many slits for a discrete spectrum?

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    Discrete Spectrum
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SUMMARY

The discussion centers on the relationship between the number of slits in a diffraction grating and the resulting spectrum produced. It is established that a continuous spectrum is observed with two slits, while a discrete spectrum emerges with four slits. The key conclusion is that the number of slits directly influences the type of spectrum, with more slits leading to a more defined and discrete pattern, contingent upon the light source used.

PREREQUISITES
  • Understanding of light interference principles
  • Familiarity with diffraction gratings
  • Knowledge of continuous vs. discrete spectra
  • Basic concepts of light sources, particularly white light
NEXT STEPS
  • Research the principles of light interference in greater depth
  • Explore the mechanics of diffraction gratings and their applications
  • Study the differences between continuous and discrete spectra
  • Investigate the effects of various light sources on diffraction patterns
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Students studying optics, physics educators, and anyone interested in the principles of light behavior and diffraction phenomena.

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Homework Statement



I watched two videos on KhanAcademy, one was about light interference with 2 slits and the other was with 4 slits. The video with 2 slits got a continuous spectrum whereas the one with 4 slits got a discrete spectrum. So my question is: how many slits does it take to get a discrete spectrum and why that number specifically?

Homework Equations

The Attempt at a Solution

 
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Citation please.

The spectra should be as discrete or continuous as the source.
ie. if a white light source, the diffraction grating should result in a series of rainbow patterns.
 

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