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The fundamental of an organ pipe that is closed at one end
Chapter 14, Problem 92GP(choose chapter or problem)
Problem 92GP
The fundamental of an organ pipe that is closed at one end and open at the other end is 261.6 Hz (middle C). The second harmonic of an organ pipe that is open at both ends has the same frequency. What are the lengths of these two pipes?
Questions & Answers
QUESTION:
Problem 92GP
The fundamental of an organ pipe that is closed at one end and open at the other end is 261.6 Hz (middle C). The second harmonic of an organ pipe that is open at both ends has the same frequency. What are the lengths of these two pipes?
ANSWER:
Step 1 of 3
The following are given by the question:
The frequency,
Speed of the sound,
For the fundamental frequency, the length and frequency relationship is given by
Here, is the length of the organ pipe closed at one end, and is the number of harmonics.