Question

Two small boats are 10m apart on a lake. each pops up and down with a period of 4.0 seconds due to wave motion on the surface of water. when one boat is at its highest point, the other is at its lowest point. both boats are always within a single cycle of the waves. the speed of the wave is

Answer 1

distance between Boats must be half of wavelength . because question says that when one boat is at highest point, the other is at lowest point and both boats are always within a single cycle of the wave .

Hence, wavelength = 2 × distance between Boats = 2 × 10 = 20m
frequency = 1/ time period = 1/4 Hz

now, speed of wave = wavelength of wave × frequency of wave
= 20 × 1/4 = 5m/s

hence, speed of wave = 5 m/s

Answer 2

Answer:

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