Water waves are called deep-water waves when the depth of the water is much greater than the wavelength of the wave. The speed of deep-water waves depends on the wavelength as follows:                                                        v = √gλ/2πSuppose you are on a ship at rest in the ocean, observing the crests of a passing sinusoidal wave. You estimate that the crests are 75 m apart. In the deep ocean, a longer-wavelength wave travels faster than a shorter-wavelength wave. Thus, a higher-frequency wave travels ______ a lower-frequency wave.A. Faster thanB. At the same speed asC. Slower than

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Water waves are called deep-water waves when the depth of the water is much greater than the wavelength of the wave. The speed of deep-water waves depends on the wavelength as follows:
                                                        v = √gλ/2π
Suppose you are on a ship at rest in the ocean, observing the crests of a passing sinusoidal wave. You estimate that the crests are 75 m apart.

In the deep ocean, a longer-wavelength wave travels faster than a shorter-wavelength wave. Thus, a higher-frequency wave travels ______ a lower-frequency wave.
A. Faster than
B. At the same speed as
C. Slower than

Expert Solution
Step 1

Speed of water waves is given by the relation,

v=gλ2π                   (1)

So, speed is directly proportional to the wavelength of the wave. So, longer wavelength-wave travels faster than a shore-wavelength wave.

Now, frequency, f, is inversely proportional to wavelength.  Hence, higher-frequency wave travels faster than a lowe4r-frequency wave.

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