A ray of light traveling in quartz (which is surrounded by air) is a mixture of

Question

A ray of light traveling in quartz (which is surrounded by air) is a mixture of red and blue light. The index of refraction of the quartz is 1.558 for the violet light and 1.541 for the red light. When the light is incident on the quartz-air interface, it may either refract into the air or undergo total internal reflection within the quartzSuppose the light is incident on the interface with an angle of theta_i = 40 10degree.What happens to the violet light? What is its angle theta_V with the normal now? What happens to the red light? What is its angle theta_r with the normal now?

Explanation / Answer

part a )

n1sintheta = n2 sinthetav

n1 = 1.558

sintheta = 40.1

n2 =1

total internal reflection will happen in violet light

theta = 90 degree

part b )

in red light

n1 = 1.541

it will go into the air , in red light

n1sinthetai = n2 sinthetav

thetav = 83.02 degree

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