When a light beam travels from a point A above a swimming pool to a point B

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When a light beam travels from a point A above a swimming pool to a point B below the water (Figure 28), it chooses the path that takes the least time. Let v1 be the velocity of light in air and v2 the velocity in water (it is known that v1 > v2). Prove Snell’s Law of Refraction:

A h sin 0 VI sin 0 V2 0 1 10 T T M B

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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