1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Refraction at a spherical surface

  1. Apr 29, 2005 #1
    hello again:

    A Spherical Fish Bowl. A small tropical fish is at the center of a water-filled spherical fish bowl 28.0 cm in diameter.

    Find the apparent position of the fish to an observer outside the bowl. The effect of the thin walls of the bowl may be ignored.

    i'm dealing with the formula : (n_a/s) + (n_b/s_prime) = 0

    n_a = index of refraction of air (1.00) ?
    n_b = index of refraction of water (1.33)?
    s = position of fish = 14 cm ?
    s_prime = position of image?

    I tried plugging into the above formula, however I keep getting the wrong answer. Also, I tried switching n_a with n_b but that also didn't work. I'm thinking that the position of my fish isn't 14 cm? What am I doing wrong?
  2. jcsd
  3. Apr 29, 2005 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    That equation is only for a flat surface. More generally, it's:


    where R is the radius of curvature of the bowl.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Refraction spherical surface Date
Formula of refraction at spherical surface Aug 15, 2014
Refraction at spherical surface Aug 15, 2014
Optics, refraction at spherical surface Feb 7, 2013
Refraction at a spherical surface Nov 22, 2012
Refraction - Spherical Surface Mar 11, 2012