A person looks over the edge of a pool and sees a bottle cap on the bottom directly below, where the depth is d = 4.4 m.

How far below the water surface does the bottle cap appear to be? (See the figure.)

Part A = different media have different speeds of light.

Refraction is caused by the fact that

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Part A = 1.244*10^8 m/s

Part B = 1.224*10^8 m/s

Part C = δ = asin(sin(theta;_{a}) / n_{red}) – asin(sin(theta;_{a}) / n_{blue})

Part D = δ = 0.287°

Calculate v_{red}, the speed of red light in the diamond

Calculate v_{blue}, the speed of blue light in the diamond

Derive a formula for δ, the angle between the red and blue refracted rays in the diamond.

Calculate δ numerically for θ_{a} = 45°.

Part A = BCEF

Part B = E, B, F, C

For which of these scenarios is total internal reflection possible?

For the scenarios in which total internal reflection is possible, rank the scenarios on the basis of the critical angle, the angle above which total internal reflection occurs. At this angle, the refracted ray is at 90 from the normal.