A light ray starts at the origin and is reflected off a mirror along the line y = 1 to

Chapter 4, Problem 45

(choose chapter or problem)

A light ray starts at the origin and is reflected off a mirror along the line y = 1 to the point (2, 0). See Figure 4.46. Fermats Principle says that lights path minimizes the time of travel.5 The speed of light is a constant. (a) Using Fermats Principle, find the optimal position of P. (b) Using your answer to part (a), derive the Law of Reflection, that 1 = 2.

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