1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Homework Help: Radius of a circle from refracted light in water

  1. Apr 8, 2008 #1
    [SOLVED] radius of a circle from refracted light in water

    1. The problem statement, all variables and given/known data
    A swimmer at the bottom of a pool 4 m deep looks up and sees a circle of light. If the index of refraction of the water in the pool is 1.33, find the radius of the circle.

    2. Relevant equations
    [tex]\theta[/tex] (c) = Arcsin(n[tex]_{2}[/tex]/n[tex]_{1}[/tex])
    n(1)*sin[tex]\theta[/tex](1) = n(2) * sin[tex]\theta[/tex](2)

    3. The attempt at a solution
    I used to first equation to find the angle of incidence, then used snell's law to calculate the angle of refraction. After which I am unsure of the correct way to proceed. I tried setting tan[tex]\theta[/tex] = 4/x, where I was using x as the radius, but I am pretty sure that it is not correct.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted