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Light Through a Pair Slits

  1. Oct 28, 2009 #1
    1. The problem statement, all variables and given/known data

    Light of wavelength = 655 nm passes through a pair of slits that are 245 µm apart and travels to a screen 9.0 m away. How far from the center of the pattern is the third interference minimum? (in mm)

    d=245e-6
    λ=655e-9
    m=3
    D=9
    y=distance from center of 3rd interference minimum

    2. Relevant equations

    sinθ=λm/d
    tanθ=y/D

    3. The attempt at a solution

    sinθ=λm/d=(655e-9)(3)/(245e-6)
    θ=0.4595 degrees

    tanθ=y/D
    y=Dtanθ=9tan(0.4595)
    y=0.722m=72.2mm (incorrect)
     
  2. jcsd
  3. Oct 28, 2009 #2

    Delphi51

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    Homework Helper

    Hi Wahsup, welcome to PF!
    It seems to me you have found the 3rd maximum, but the question asks for the MINIMUM. You'll just have to adjust your m value.
     
  4. Oct 28, 2009 #3
    thanks!

    if m=3 is the max, would that mean m=2 is the min?
     
  5. Oct 28, 2009 #4
    nevermind. i got it.

    Since m=3 is the max, the min is m=2.5

    thank you for the help
     
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