Discussion
An organ pipe open at both the ends has its fundamental frequency 200 Hz. If one end of it is closed and the other end is kept open, the frequencies produced by it are
Answer: C
The frequencies are 100 Hz, 300 Hz, 500 Hz, 700 Hz, ...
For an open pipe of length L, the fundamental is \(\frac{v}{2L} = 200\) Hz. Closing one end makes the fundamental \(\frac{v}{4L}\), half of that, so 100 Hz. A pipe closed at one end produces only the odd harmonics, 1, 3, 5, 7 ... times the fundamental: 100, 300, 500, 700 Hz.
The series starting at 200 Hz keep the open-pipe fundamental, and 100, 200, 300, 400 Hz includes even harmonics, which a closed pipe cannot produce.
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