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Diffraction Grating

  1. Mar 28, 2012 #1
    1. The problem statement, all variables and given/known data

    A beam of monochromatic light of wavelength 500 nm falls normally on a diffraction grating. What is the spacing between slits on the grating if a first order maximum is observed at 32o?

    a. 2.88 m
    b. 0.944 m
    c. 0.750 m
    d. 0.500 m
    e. 0.250 m


    2. Relevant equations
    d=mλ/sinθ

    3. The attempt at a solution

    m=1 (first order)
    λ=500nm
    θ=32

    d=1*500nm/sin(32)
    d=9.44x10^-7m

    the answer key says it is a) 2.88m
    can anyone explain why?


    I am having the same problem with:
    A beam of light with a wavelength of 500 nm falls normally on a diffraction grating. What is the spacing between slits on the grating if a first order maximum is observed at 20o?

    a. 171 nm
    b. 500 nm
    c. 1000 nm
    d. 1460 nm

    where I am getting 1460nm with the same procedure as above but the answer key says 1000nm :/

    thanks in advance!
     
  2. jcsd
  3. Mar 28, 2012 #2
    using the figures you have given I get exactly the same answers as you.
    the answer grid is wrong
     
  4. Mar 28, 2012 #3
    thank you! :)
     
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