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Find the two maxima for a double grate diffraction

  1. May 9, 2012 #1
    θ1. The problem statement, all variables and given/known data
    Two gratings A and B have slits separations dA and dB, respectively. They are used with
    the same light and the same observation screen. When grating A is replaced with grating B, it is
    observed that the first-order maximum of A is exactly replaced by the second-order maximum
    of B.
    a) Determine the ratio dB/dA of the spacings between the slits of the gratings.
    b) Find the next two principal maxima of grating A and the principal maxima of B that
    exactly replace them when the gratings are switched. Identify these maxima by their order
    numbers.
    2


    2. Relevant equations
    dasin(θ) = m1λ
    dbsin(θ) = m2λ

    3. The attempt at a solution
    I just divided the two equations and got db/da =
    m2/m1 = 2.
     
  2. jcsd
  3. May 9, 2012 #2
    Can someone please help me I have done part a im just struggling with b
     
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