Young's double slit experiment with the source being a slit

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SUMMARY

The discussion focuses on calculating the phase difference in Young's double slit experiment, specifically when the source is a single slit. The key equation referenced is mλ = a sin Θ, which relates the phase difference to the path difference between the two slits. The concept of relative phase is emphasized, where a point in the wave oscillation is compared to another point that is a half wavelength further along, illustrating the consistent phase relationship regardless of time. The paths from the single slit to the two slits maintain the same initial phase.

PREREQUISITES
  • Understanding of wave oscillation and phase concepts
  • Familiarity with Young's double slit experiment
  • Knowledge of the equation mλ = a sin Θ
  • Basic principles of wave interference
NEXT STEPS
  • Explore the derivation of the equation mλ = a sin Θ in detail
  • Study the principles of wave interference and its applications
  • Investigate the effects of varying slit widths on phase difference
  • Learn about advanced topics in wave optics, such as diffraction patterns
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and optics, as well as educators looking to explain the principles of interference in light waves.

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Homework Statement


upload_2016-11-27_12-37-49.png

Here i am asked to find the phase difference.

Homework Equations

The Attempt at a Solution


I know that usually the equation is mλ=asinΘ
 
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I assume you mean the difference in phase at the two slits.

Phase is where you are in the wave oscillation. Well, that is changing all the time, so usually we mean relative phase. If this point in the wave is at one point in the oscillation, then we know this point, say a half a wave further along in the propagation direction is always going to be a half a wave behind in its phase regardless of what moment in time we look.

See how I related distance ("half a wave further along in the propagation direction") to phase ("half a wave behind in its phase"). Does that give you any ideas?

You have two paths starting at the one slit and going to each of the two slits. You know those two paths have the same phase starting at the single slit.
 

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