The condition for standing wave is equivalent to the requirement that the time it takes a wave to wave to make a round trip from one end of the medium to the other and back is an integer multiple of the wave period.

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Chapter 14, Problem 67P

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To show: The condition for standing wave is equivalent to the requirement that the time it takes a wave to wave to make a round trip from one end of the medium to the other and back is an integer multiple of the wave period.

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