Some musical (wind) instruments are open at both ends. The length L_bothof the instrument required to achieve a specified fundamental frequency (compared to the length L_oneof a musical instrument closed at only one end) is A) L_both = 2 L_one. B) 2 L_both= L_one. C) L_both= 4 L_one. D) 4 L_both= L_one.

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Quizplus · Accepted Answer

For a pipe open at both ends, the fundamental frequency corresponds to a wavelength that is twice the length of the pipe. For a pipe closed at one end, the fundamental frequency corresponds to a wavelength that is four times the length of the pipe. Therefore, L_both = 2 L_one.

Some Musical (Wind) Instruments Are Open at Both Ends