Young's Double Slit Experiment Video Lessons

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Problem: Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 6.00 m away from the slits. What is the distance Δymax-min between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum? Δymax-min = ________ m

FREE Expert Solution

Diffraction maxima:

d sinθ=mλ

Diffraction minima:

d sinθ=(m+12)λ

For small angles measured in radians:

tan θ ≈ sin θ ≈ y/L

  • L = 6.00 m
  • λ1 = d/20
  • λ2 = d/15

The position of the second maxima for laser 2:

  • m = 2

ymax,1 = mλ1L/d = 2(d/20)6.00/d = 0.6 m

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Problem Details

Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 6.00 m away from the slits. 

What is the distance Δymax-min between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum? 

Δymax-min = ________ m

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