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Refraction by a transparent spherical surface

  1. Sep 20, 2008 #1
    1. The problem statement, all variables and given/known data
    Parallel light rays enter a transparent sphere along a line passing through the center of the sphere. The rays come to a focus on the far surface of the sphere. What is the sphere's index of refraction?

    2. Relevant equations

    3. The attempt at a solution
    so I used the equation that relates object distances and image distances for spherical surfaces: n1/s + n2/s' = (n2-n1)/R

    I am calling the radius of the sphere R

    (1.00)/s + n2/2R = (n2-1.00)/R and I think for this case s[tex]\rightarrow[/tex][tex]\infty[/tex]
    so n2/2R = (n2-1)/R
    n2 = 2(n2-1)
    n2 = 2n2 -2
    so n2= 2.00 Is this correct?
  2. jcsd
  3. Sep 20, 2008 #2


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    Looks fine to me. :smile:
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