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Optics question - check me please?

  1. May 13, 2012 #1
    1. The problem statement, all variables and given/known data

    A diffraction grating is placed 0.50 m from a screen. The diffraction grating is marked 750 lines/mm. Find the distance between the second order maximum and the first order maximum when light of wavelength 550 nm is passed through the slits.

    2. Relevant equations



    3. The attempt at a solution


    angle from center = arcsin( m*wavelength*N )

    so for m=1 (first order)

    angle = arcsin (1*550x10^-9*750/10^-3m) =24.36 degrees

    And the distance from center: d = 0.50 meter * tan24.36 = 0.22641 m

    Repeat the calculations for m=2:

    angle = arcsin (2*550x10^-9*750/10^-3m) =55.59 degrees

    And the distance from center: d = 0.50 meter * tan55.59 = 0.72992 m

    So their separation = 0.72992 - 0.22641 = 0.5035 m
     
  2. jcsd
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