A pipe open at one end only has a fundamental frequency of 286 Hz. A second pipe, initially identical to the first pipe, is shortened by cutting off…

A pipe open at one end only has a fundamental frequency of 286 Hz. A second pipe, initially identical to the first pipe, is shortened by cutting off a portion of the open end. Now, when both pipes vibrate at their fundamental frequencies, a beat frequency of 15 Hz is heard. How many centimeters were cut off the end of the second pipe? The speed of sound is 343 m/s.

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