Explanation Consider the following figure. Figure (1) The Fermat’s principle states that the light travels between two points along the path that requires the least time as compare to other nearby paths. It is used in the derivation of the law of reflection. Time taken by the light ray to travel from point A to B is, t = h 1 2 + x 2 c + h 2 2 + ( d − x ) 2 c To minimize the time, set the derivative of the time with respect to x equal to zero. d t d x = 0 Substitute h 1 2 + x 2 c + h 2 2 + ( d − x ) 2 c for t in above equation, d d x ( h 1 2 + x 2 c + h 2 2 + ( d − x ) 2 c ) = 0 x c h 1 2 + x 2 </

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ISBN: 9781305804463

Author: Jewett

Publisher: CENGAGE LEARNING - CONSIGNMENT

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Chapter 35, Problem 35.85CP

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The law of reflection by using the Fermat’s principle.

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Chapter 35, Problem 35.84CP

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Chapter 35 Solutions

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The law of reflection by using the Fermat’s principle.

Solution Summary: The author explains how the Fermat's principle states that the light travels between two points along the path that requires the least time as compare to other nearby paths.

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The law of reflection by using the Fermat’s principle.

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