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What is the angular width (in degrees) of the rainbow that comes out of a prism,...

What is the angular width (in degrees) of the rainbow that comes out of a prism, assuming that the index of refraction n, changes by .013 between the two extremes of the visible spectrum of light? Assume that the incoming angle of the white light is such that for green light (halfway between red and violet) the path that is followed is the one below where the path in the prism is parallel to the base of the prism.

A. Express your answer as a function of the dn (the change in the index of refraction of the prism between red and violet), n, the index of refraction of the prism and the angle A.

B. For a prism made out of glass with index of refraction 1.50 for green light, and with angle A=60, what is the width of the rainbow in degrees? Recall that for the case where the central ray is parallel to the base, that n(prism) = sin(A+D)/2 / sin (A/2)

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I used thin prism deviation formula to solve the problem.

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