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You are at the edge of a cliff. You whistle and hear your echo in 2.5 seconds. Assume the speed of sound at that location is 340 m/s and the frequency of your whistle was

680 Hz, what is the wavelength of your whistle at that location?

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Final answer:

To calculate the wavelength of your whistle with a frequency of 680 Hz at a location where the speed of sound is 340 m/s, use the formula λ = v / f. The wavelength is then found to be 0.5 meters.

Step-by-step explanation:

The question relates to the calculation of the wavelength of a sound wave when the frequency and the speed of sound are known. To find the wavelength of your whistle at that location, we can use the formula for the speed of a wave, which is the product of its frequency (f) and its wavelength (λ). The formula is v = f × λ, where v is the speed of sound, f is the frequency of the whistle, and λ is the wavelength we wish to find.

Given that the speed of sound at the location is 340 m/s and the frequency of the whistle is 680 Hz, we can rearrange the formula to solve for the wavelength: λ = v / f. Plugging in the values gives us λ = 340 m/s / 680 Hz, which equals 0.5 meters for the wavelength of the whistle.

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