Ray Optics: Refraction and Lenses
Refraction and Lenses: Audio Guided Solution
The diagram at the right shows series of transparent materials that form layers on top of each other and are surrounded by water (n=1.33). Layer 1 has an index of refraction of 1.91; layer 2 has an index of refraction of 1.52; layer 3 has an index of refraction of 1.36. A light ray in water approaches the boundary with layer 1 at 62.8 degrees.
a. Determine the angles of refraction for the light as it enters into each layer
b. Determine the angle of incidence of the light after it passes through each layer and strikes the boundary with the next layer.
c. Determine the angle of refraction for the light as it refracts out of layer 3 into the water.
Audio Guided Solution
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a. angle of refraction at water - Layer 1 boundary: 38.3°
angle of refraction at Layer 1- Layer 2 boundary: 51.1°
angle of refraction at Layer 2- Layer 3 boundary: 60.4°
b. angle of incidence at Layer 1 - Layer 2 boundary: 38.3°
angle of incidence at Layer 2 - Layer 3 boundary: 51.1°
angle of incidence at Layer 3 - Water boundary: 60.4°
c. angle of refraction when refracting back into water: 62.8°
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