36.02 (A, n/a): Diffraction with Huygen's Principle 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. (a) Which laser has its first maximum closer to the central maximum?(b) What is the distance Δymax-max between the first maxima (on the same side of the central maximum) of the two patterns? Δymax-max= ________ m 

FREE Expert Solution

Diffraction maxima:

d sinθ=mλ

(a)

For small angles measured in radians:

tan θ ≈ sin θ ≈ y/L

  • L = 6.00 m
  • m = 1
  • λ1 = d/20
  • λ2 = d/15

dymax/L = mλ

ymax,1 = mλ1L/d = 1(d/20)6.00/d = 0.3 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. 

(a) Which laser has its first maximum closer to the central maximum?

(b) What is the distance Δymax-max between the first maxima (on the same side of the central maximum) of the two patterns? 

Δymax-max= ________ m 

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