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A pipe open at one end has a fundamental frequency of 256 Hz. A second pipe, identical to the first pipe, is shortened by cutting off a portion of...

A pipe open at one end has a fundamental frequency of 256 Hz. A second pipe,
identical to the first pipe, is shortened by cutting off a portion of the open end. When
both pipes vibrate at their fundamental frequencies, a beat frequency of 12 Hz is heard.
Calculate how many centimetres were cut off the end of the second pipe.

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