Total Internal reflection question

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The discussion focuses on total internal reflection in optical-quality glass with an index of refraction of 1.520 for red light and 1.538 for violet light. The critical angles calculated are 41.1 degrees for red light and 40.6 degrees for violet light, indicating that red light disappears first due to its higher critical angle. When the angle exceeds 41.0 degrees, only violet light remains visible. The index of refraction for the glass is confirmed as 1.523.

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mr.miagi
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1. A white light source is below the lower surface of a piece of optical-quality glass. The glass has an index of refraction of 1.520 for red light and 1.538 for violet. If you were able to move your eye at any angle relative to the perpendicular to the glass, calculate A) Which color disappears first due to total internal reflection B) At what angle do you see only a single color, red or violet?

2. critical angle = sin-1(n1/n2)

3. So far I have done the following
critical angle = sin-1(1.00/1.520) =41.1degrees for red
critical angle = sin-1(1.00/1.538) =40.6degrees for violet
The index of refraction for glass is 1.523
critical angle = sin-1(1.00/1.523) = 41.0 degrees
Therefore the red light would disapear first because its critical angle is bigger then that of 41.0 degrees.
part B) the angle would be anything greater then 41.0degrees the only the violet light would be visible.
Is this correct?
 
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The index of refraction for glass is 1.523 For which color?
 
The index of refraction for glass is 1.523, for white light.
 

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