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If the air temperature decreases, how does the resonant frequency in a pipe closed at one end change?Select one:a.It decreases.b.It doesn't change because resonance is pressure phenomenon.c.It doesn't change since one end of the pipe is closed.d.It increases.

Question

If the air temperature decreases, how does the resonant frequency in a pipe closed at one end change?Select one:a.It decreases.b.It doesn't change because resonance is pressure phenomenon.c.It doesn't change since one end of the pipe is closed.d.It increases.

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Solution

a. It decreases.

Here's why: The speed of sound in air decreases as the air temperature decreases. The resonant frequency of a pipe closed at one end is directly proportional to the speed of sound in the medium (in this case, air). Therefore, if the speed of sound decreases due to a decrease in air temperature, the resonant frequency of the pipe also decreases.

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