On a whale-watching expedition, your underwater sound detector picks up a whale sound that has an intensity

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On a whale-watching expedition, your underwater sound detector picks up a whale sound that has an intensity of \(9.0 \mu \mathrm{W} / \mathrm{m}^{2}\).

(a) What is the intensity level \(\beta\) of this sound?

(b) If your detector tells you that you are \(2.3 \mathrm{~km}\) from the whale, what is the power of the emitted signal?

(c) How many whales, emitting sound at the same intensity \(I=9.0 \mu \mathrm{W} / \mathrm{m}^{2}\), are needed to produce an intensity level of \(100 \mathrm{~dB}\) at your location?

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