Daily Problem for Fri. Mar. 25 Due at the beginning of class Show all your work
ID: 2032452 • Letter: D
Question
Daily Problem for Fri. Mar. 25 Due at the beginning of class Show all your work and include units in your answers for full credit. A ray of light traveling in flint glass (which is surrounded by air) is a mixture of red and blue light. The index of refraction of the flint glass is 1.790 for the violet light and 1.750 for the red light. When the light is incident on the glass-air interface, it may either refract into the air or undergo total internal reflection within the quartz. flint glass air Suppose the light is incident on the interface with an angle of 0-34.00° (a) What happens to the violet light? What is its angle &, with the normal now? b) What happens to the red light? What is its angle 0, with the normal now?Explanation / Answer
a) use Snell's law
sin(theta_i)/sin(theta_v) = n2/n1
sin(34)/sin(theta_v) = 1/1.79
sin(theta_v) = 1.79*sin(34)
= 1.000
theta_v = sin^-1(1.000)
= 90 degrees
b)
use Snell's law
sin(theta_i)/sin(theta_v) = n2/n1
sin(34)/sin(theta_r) = 1/1.75
sin(theta_r) = 1.75*sin(34)
= 0.9786
theta_r = sin^-1(0.9786)
= 78.1 degrees
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