How does the frequency of vibrations of small objects floating in water compare to the number of waves passing it each second?

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Vibrations will cause the little object to move up and down. The time period of the up and down motion will be similar to that of the waves formed in water.

Since the waves constantly move at the same speed, two waves passing in a second require a width that is half that of a single wave.

Since the object is carried by the waves, the frequency of the waves and the frequency of the object's bobbing are the same.

All of the above

answer is D.

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Detailed Solution

All of the above is correct.
The object bounces twice as fast as if there were only one wave passing by, if there were two. This is due to the fact that waves always move at the same rate; therefore, for two waves to pass in one second, it must be half that for one wave. With the help of wave language, we can achieve this more explicitly. Wave frequency is determined by how many waves pass each second. Since the object is carried by the waves, it is clear that the frequency of the waves and the frequency of oscillation of the object are the same. So all the above options are correct. So option 4 is correct.

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