Interference - Finding distance between slits

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SUMMARY

The discussion focuses on calculating the spacing between the center of slits (D) in a double-slit interference experiment using the formula Δy = λL/D. The user has plotted a Δy vs. L graph and identified the slope, which is directly related to the wavelength (λ) and the slit spacing (D). By rearranging the equation to D = λL/Δy, the user can determine the slit spacing once the slope is established. This method is confirmed as correct by another participant in the discussion.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with the double-slit experiment
  • Knowledge of basic algebra for rearranging equations
  • Ability to interpret graphical data
NEXT STEPS
  • Review the derivation of the double-slit interference formula Δy = λL/D
  • Practice plotting and analyzing Δy vs. L graphs
  • Explore the implications of varying λ on the spacing D
  • Investigate other interference patterns, such as those produced by diffraction gratings
USEFUL FOR

Students in physics courses, educators teaching wave mechanics, and anyone interested in experimental physics and optical phenomena.

mattbonner
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Homework Statement


A laser is shone through a set of slits and onto a screen.
I have a Δy vs. L graph plotted, where Δy is the spacing between successive nodes, and L is the distance from the slits to the screen. I'm supposed to find the spacing between the center of the slits. The value of λ is given.


Homework Equations


Δy = λL/D
y is the spacing between successive nodes
L is the distance from the slits to the screen
D is the spacing between the center of the slits

The Attempt at a Solution


I have the slope, but I don't know where to go from there...
I'm thinking that the slope will be equal to λ/D? and if I know λ, then I can calculate D. Not sure if this is the right way to go though.
 
Last edited:
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mattbonner said:
I'm thinking that the slope will be equal to λ/D? and if I know λ, then I can calculate D.

Yes, that's right.
 

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