Finding distance between two slits in conditions related to Young's Experiment

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SUMMARY

The discussion centers on using light of a known wavelength to determine the distance between two slits in Young's Experiment. The initial approach suggested using the formula distance = wavelength/sin(theta), but the lack of an angle posed a challenge. Participants emphasized the importance of understanding the far-field diffraction pattern produced by coherent light passing through the slits, which provides the necessary angle for calculations. This highlights the relationship between wavelength, slit separation, and the resulting interference pattern.

PREREQUISITES
  • Understanding of Young's Double Slit Experiment
  • Knowledge of wave optics and interference patterns
  • Familiarity with coherent light sources
  • Basic trigonometry related to angles and sine functions
NEXT STEPS
  • Research the far-field diffraction pattern in Young's Experiment
  • Study the mathematical derivation of interference patterns
  • Learn about coherent light sources such as lasers
  • Explore the application of trigonometric functions in wave optics
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Students and educators in physics, optical engineers, and anyone interested in wave optics and interference phenomena.

wScott
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Good evening to all you genius people out there, I've been racking my brains for the past 10 minutes and can't come up with anything.

The exact wording of the question:

Describe how you could use light of a known wavelength to find the distance between two slits.

I thought of using distance = wavelength/ sin(theta). But then I realized I'm not given the angle. Got any suggestions for this predicament?
 
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Hint -- Do you know what the "far field" pattern looks like when you send monochromatic (and coherent) light through two neighboring slits? the angle will come from something about that.
 

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