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Fermat’s principle is of least time rather than of least

Chapter 30, Problem 51TAE

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QUESTION:

Fermat’s principle is of least time rather than of least distance. Would least distance apply as well for reflection? For refraction? Why are your answers different?

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QUESTION:

Fermat’s principle is of least time rather than of least distance. Would least distance apply as well for reflection? For refraction? Why are your answers different?

ANSWER:

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In order to account for light that is refracted as it moves from one medium to another, Fermat's principle of the shortest time is used. The speed of light varies depending on the medium. Because of this, light travels a longer path through a particular medium in which it has greater speed in a shorter time.

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