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Light and dispersion

  1. Mar 1, 2007 #1
    1. The problem statement, all variables and given/known data

    Yellow light strikes a diamond at a 47.0° angle of incidence and is refracted when it enters the diamond. Blue light strikes a piece of flint glass and has the same angle of refraction as does the yellow light in the diamond. See Table 26.2 for data. What is the angle of incidence of the blue light?

    Table 26.2
    Approx. Color>Wavelength in Vacuum (nm)>Index of Refraction, n
    Yellow>580>1.523
    Blue>470>1.531

    2. Relevant equations

    sin(angle1)n1=sin(angle2)n2

    3. The attempt at a solution

    sin(47)*(1.523)=sin(angle)*(1.531)
    sin(angle)=.7275321
    angle=46.6799


    ************
    Argh, thought I knew what I was doing, apparently not :mad: :frown:
     
  2. jcsd
  3. Mar 1, 2007 #2
    First, I assume that the 1.531 is the index of refraction of blue light in flint.

    You have mixed the equations.
    let x be the angle of refraction for both the diamond and the flint
    let y be the angle of incidence in the flint.

    sin(47)=x*1.523 for diamond
    and
    sin(y)=x*1.531 for flint

    You now have 2 equations and 2 variables which you can solve.
     
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