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What is the wavelength of the sound wave produced in air at 25 °C?

a) Depends on the frequency
b) Increases with temperature
c) Decreases with temperature
d) Remains constant at all temperatures

1 Answer

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Final answer:

The wavelength of a sound wave at 25 °C depends on the wave's frequency. As temperature increases, the speed of sound increases, resulting in a longer wavelength for the same frequency. Therefore, the wavelength is not constant at all temperatures and will vary with both frequency and temperature changes.

Step-by-step explanation:

The wavelength of the sound wave produced in air at 25 °C depends on the frequency of the wave and the speed of sound in air. The speed of sound, in turn, depends on the properties of the medium, not the wavelength of the wave or the size of the medium. Specifically, the speed of sound increases with the temperature of the air, which means at higher temperatures, given the same frequency, the wavelength will be longer. As a result, the answer to the student's original question is: a) Depends on the frequency because for a given speed of sound, an increase in frequency would cause a decrease in wavelength according to the formula λ = v/f, where λ is wavelength, v is the speed of sound, and f is frequency.

In the context of how the wavelength of the sound wave changes across the electromagnetic (EM) spectrum as frequency increases, the correct response is: d. The wavelength decreases. Finally, it is important to note that while amplitude and frequency can affect the experience of the sound, they do not have a direct effect on the speed of sound in a given medium.

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