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Challenge: a sound wave with a frequency of 100.0 Hz travels in water with a speed of 1,500 m/s and then travels in air with a speed of 340 m/s. Approximately how many times larger is the wavelength in water than in air?

1 Answer

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Final answer:

The wavelength in water is approximately 4.41 times larger than the wavelength in air.

Step-by-step explanation:

In order to calculate the ratio of the wavelengths in water and in air, we need to use the formula:

ratio = speed of sound in water / speed of sound in air

Given that the speed of sound in water is 1500 m/s and the speed of sound in air is 340 m/s, we can substitute these values into the formula: ratio = 1500 m/s / 340 m/s = 4.41

Therefore, the wavelength in water is approximately 4.41 times larger than the wavelength in air.

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