A beam of white light goes from air into water at an incident angle of 79...
A beam of white light goes from air into water at an incident angle of 79 degrees. At what angles are the red (660 nm) and violet (410 nm) parts of the light refracted? The difference between the angles of refraction of two colors is_______ degrees.
I have solved and gotten 48 degrees for RED and 47 degrees for VIOLET.
Homework Answers
Given,
theta1 = 79 deg
we know that
n1 sin(theta1) = n2 sin(theta2)
theta2 = sin^-1 (n1 sin(theta1)/n2)
theta2 = sin^-1 (1 x sin79/1.331) = 47.52 deg
theta2' = sin^-1(1 x sin79/1.342) = 47.01 deg
Hence, theta2-red = 47.52 deg ; theta2-violet = 47.01 deg
difference = 47.52 - 47.01 = 0.51 deg
Hence, difference = 0.51 deg
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