Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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
    -n2=-2
    so n2= 2.00 Is this correct?
     
  2. jcsd
  3. Sep 20, 2008 #2

    Kurdt

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Looks fine to me. :smile:
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook