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14.27 Suppose a dolphin sends out a series of clicks that are reflected back fro

ID: 1486681 • Letter: 1

Question

14.27

Suppose a dolphin sends out a series of clicks that are reflected back from the bottom of the ocean 85 m below. How much time elapses before the dolphin hears the echoes of the clicks? (The speed of sound in seawater is approximately 1530 m/s.) Express your answer using two significant figures. Dolphins of the open ocean are classified as Type II Odontocetes (toothed whales). These animals use ultrasonic "clicks" with a frequency of about 55 kHz to navigate and find prey. What is the wavelength of 55 kHz sound in the ocean? Express your answer using two significant figures.

Explanation / Answer

distance 85 m

Speed in seawater = 1530 m/s

Time = Distance / speed =85/1530 = 0.055 sec

So, when the clicks go to the bottom and then, it goes up, the time will be doubled, then :

Total time = 2t =0.11 sec

frequency = 55*10^3 Hz

speed = lambda*frequency

1530 = 55*10^3*lambda

lambda = 0.0278 m

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