Waves on the open ocean travel with a velocity that is

Chapter 7, Problem 7.5.17

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Waves on the open ocean travel with a velocity that is directly proportional to the square root of their wavelength, the distance from one wave crest to the next. [See D. W. Thompson, On Growth and Form (New York: Dover Publications, 1992).] a. If you are in a fixed spot in the ocean, the time interval between successive waves equals . Show that this time interval is directly proportional to the square root of the wavelength. b. On one day waves crash on the beach every 3 seconds. On the next day, the waves crash every 6 seconds. On the open ocean, how much farther apart do you expect the wave crests to be on the second day than on the first?

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