Which one is the correct relation for fundamental frequency of open and closed pipe ?
Correct answer: A. fopen = 2 fclosed
- A. fopen = 2 fclosed
- B. fclosed = 2fopen
- C. fopen = fclosed
- D. fopen = 1 / f closed
Explanation
For pipes of the same length, the fundamental wavelength of an open pipe is 2L, while that of a closed pipe is 4L. Since f = v/λ, fopen = v/(2L) and fclosed = v/(4L), giving fopen = 2fclosed. The likely mistake is choosing fclosed = 2fopen, which reverses the frequency relationship.
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About Organ Pipes
Organ pipes produce standing sound waves in air columns, with resonance determined by whether each end is open or closed. The topic covers nodes, antinodes, fundamental frequency, harmonics, wavelength and end correction. Open pipes support all harmonics, while closed pipes support only odd harmonics under the ideal model.
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