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A pipe open at both ends is 0.457 m long. The speed of sound is 344 m/s. A small loudspeaker is vibrating near one end of the pipe, and its frequency is varied from 1000 Hz up to 2000 Hz. (a) Determine all of the frequencies in this range for which standing waves resonate in the pipe. (b) Sketch the standing waves for each of these frequencies.

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