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The dolphin emits sound at a frequency of 87.287.2 kHz, and the sound waves move through the water at 14801480 m/s.What is the wavelength of the sound waves emitted by the dolphin? Enter your answer accurate to at least 3 significant figures.

Question

The dolphin emits sound at a frequency of 87.287.2 kHz, and the sound waves move through the water at 14801480 m/s.What is the wavelength of the sound waves emitted by the dolphin? Enter your answer accurate to at least 3 significant figures.

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Solution

The wavelength of a wave can be calculated using the formula:

Wavelength = Speed of Sound / Frequency

Given: Speed of Sound = 1480 m/s Frequency = 87.2 kHz = 87200 Hz (since 1 kHz = 1000 Hz)

Substituting these values into the formula:

Wavelength = 1480 m/s / 87200 Hz = 0.01698 m

So, the wavelength of the sound waves emitted by the dolphin is approximately 0.017 m.

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