White light is incident at an angle onto a pane of glass. The index of refractio

Question

White light is incident at an angle onto a pane of glass. The index of refraction for violet light is greater than that for red light in this glass (nV > nR). Support all answers with any necessary figures or equations. (a) Which ray is refracted more in the glass: the violet, the red, or neither? (b) When the light emerges from the glass back into the air, which ray is refracted more: the violet, the red, or neither? (c) Is the angle of deviation for the violet light equal to the angle of deviation for the red light? (Essentially, are the emergent violet and red rays parallel to each other?) (Yes or No)

Explanation / Answer

using snell's law:

if incident angle is theta1 and medium 1 has refractive index n1

refraction angle is theta2 and medium 2 has refractive index n2

then n1*sin(theta1)=n2*sin(theta2)

part a:

to measure more refraction, the corresponding refraction anngle has to be greater.

hence sine of the refraction angle will be higher.

sin(theta2)=n1*sin(theta1)/n2

with n1 and theta1 constant for both the lights, lesser the n2, higher the refraction angle

as nV> nR, red will be more refracted.

b)the ray that comes out of glass is parallel to the original ray.

so neither will be refracted more.

c)yes, both the emergent rays are parallel.

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