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Light intensity through a slit

  1. Apr 27, 2014 #1
    1. The problem statement, all variables and given/known data
    After a laser beam passes through two thin parallel slits, the first completely dark fringes occur at ±14.0∘ with the original direction of the beam, as viewed on a screen far from the slits.

    A)What is the ratio of the distance between the slits to the wavelength of the light illuminating the slits?
    d/lambda = 2.07

    B)What is the smallest positive angle, relative to the original direction of the laser beam, at which the intensity of the light is 110 the maximum intensity on the screen?

    Θ=


    2. Relevant equations

    I = Iocos2(ø/2)

    ø = 2∏dsinθ/λ


    3. The attempt at a solution

    so for this I solved for phi and then substituted that into the second equation and for this sinθ is ≈θ I just solved for theta in the 2nd equation

    for ø= 2cos-1(√(1/10))
    ø=2.498

    then ø/(2∏(d/λ)) = Θ

    for Θ I got .192 but I cant figure out what I did wrong

    thank you in advance
     
  2. jcsd
  3. Apr 27, 2014 #2

    Simon Bridge

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    I'm getting the same as you.
    Are you expected to give your answer in degrees or radiens?
     
  4. Apr 28, 2014 #3
    radians is what we were told to do for all of these problems
     
  5. Apr 28, 2014 #4

    Simon Bridge

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    What leads you to believe that you've done anything wrong then?
     
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