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Dolphins emit clicks of sound for communication and echolocation. A marine biologist is monitoring a dolphin swimming in seawater where the speed of sound is 1522 m/s. When the dolphin is swimming directly away at 8.0 m/s, the marine biologist measures the number of clicks occurring per second to be at a frequency of 2500 Hz. What is the difference (in Hz) between this frequency and the number of clicks per second actually emitted by the dolphin

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Answer:

13 hz

Step-by-step explanation:

Speed of sound = 1522

Dolphin swims off at 8.0 = Cs

Frequency of clicks = Fo = 2500

Fo = fs(c/c+cs)

2500 = fs(1522/1522+8)

2500 = fs(1522/1530)

2500 = 0.99477fs

Fs = 2500/0.99477

= 2513.1

From here, we find the difference between this frequency and the number of clicks per second

= 2513.1 - 2500

= 13.1 hz

Approximately 13 Hz

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