If the frequency of a sound wave is doubled while traveling in the same medium, how is the wavelength affected?

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Multiple Choice

If the frequency of a sound wave is doubled while traveling in the same medium, how is the wavelength affected?

Explanation:
In a uniform medium the speed of sound is constant, and the relationship v = fλ ties frequency and wavelength together. If the frequency doubles while the speed stays the same, the wavelength must become half as long: λ' = v/(2f) = (1/2)(v/f) = λ/2. So the wavelength is halved. For example, with v = 340 m/s and an original frequency of 1000 Hz, λ is 0.34 m; doubling the frequency to 2000 Hz gives λ = 0.17 m. The other options would require the speed to change, which isn’t happening in a fixed medium.

In a uniform medium the speed of sound is constant, and the relationship v = fλ ties frequency and wavelength together. If the frequency doubles while the speed stays the same, the wavelength must become half as long: λ' = v/(2f) = (1/2)(v/f) = λ/2. So the wavelength is halved. For example, with v = 340 m/s and an original frequency of 1000 Hz, λ is 0.34 m; doubling the frequency to 2000 Hz gives λ = 0.17 m. The other options would require the speed to change, which isn’t happening in a fixed medium.

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