A cylindrical tube sustains standing waves at the following frequencies: 600 Hz, 800 Hz, and 1000 Hz. The tube does not sustain standing waves at 500 Hz, at 900 Hz, at any frequencies between 600 and 800 Hz, or at any frequencies between 800 and 1000 Hz. Determine the fundamental frequency of the tube and whether the tube is open at both ends or has only one end open

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Physics

Juliana Harris

17 February, 12:43

A cylindrical tube sustains standing waves at the following frequencies: 600 Hz, 800 Hz, and 1000 Hz. The tube does not sustain standing waves at 500 Hz, at 900 Hz, at any frequencies between 600 and 800 Hz, or at any frequencies between 800 and 1000 Hz. Determine the fundamental frequency of the tube and whether the tube is open at both ends or has only one end open

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Malcolm Buchanan · Answer 1

In closed organ pipe notes with odd harmonics are produced and in open organ pipe notes with all odd and even harmonics are produced. notes with frequencies 600, 800 and 1000 Hz are produced. These are 3, 4 and 5 times 200 Hz. ie both odd and even times of 200. So fundamental frequency appears to be 200 Hz. There is no note available between 800 and 1000. It also indicates that 200 Hz is the fundamental frequency and the pipe is open at both ends.