A large goose lands in a lake and bobs up and down for a short time. A fisherman notices that the first wave crest created by the goose reac

Question

A large goose lands in a lake and bobs up and down for a short time. A fisherman notices that the first wave crest created by the goose reaches the shore 8.3 s after the goose first contacts the water. The distance between two wave crests is 90 cm, and in 2.0 s he sees four wave crests hit the shore. How can the fisherman use these observations to determine how far from the shore the goose landed?

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Tryphena 6 months 2021-08-11T14:01:47+00:00 1 Answers 3 views 0

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    2021-08-11T14:03:16+00:00

    Answer:

    Distance will be equal to 11.21 m

    Explanation:

    We have given distance between two wave crests \lambda= 90 cm = 0.90 m

    Time t = 2 sec

    Four waves gives 3 cycle , so n = 3

    So time period of wave T=\frac{t}{n}=\frac{2}{3}=0.666sec

    So velocity v=\frac{\lambda }{T}=\frac{0.90}{0.666}=1.351m/sec

    It is given that first wave crest created by goose reaches shore after 8.3 sec

    So distance between shore and goose will be equal to

    Distance = velocity ×time = 1.351×8.3 = 11.21 m

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