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?

Distance will be equal to 11.21 m

Explanation:

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

Time t = 2 sec

Four waves gives 3 cycle , so n = 3

So time period of wave

So velocity

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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