Question
An organ pipe open at both ends is tuned so that its fundamental frequency is a G. How long is the pipe?A. $43 \mathrm{cm}$B. $87 \mathrm{cm}$C. 130 cmD. $173 \mathrm{cm}$
Step 1
Step 1: The fundamental frequency of an open organ pipe is given by the formula: \[f = \frac{v}{2L}\] where \(f\) is the frequency, \(v\) is the speed of sound, and \(L\) is the length of the pipe. Show more…
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An organ pipe open at both ends is tuned so that its fundamental frequency is a G. How long is the pipe? A. $43 \mathrm{cm}$ B. $87 \mathrm{cm}$ C. $130 \mathrm{cm}$ D. $173 \mathrm{cm}$
The fundamental frequency of a closed organ pipe of length $20 \mathrm{~cm}$ is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is: (a) $100 \mathrm{~cm}$ (b) $120 \mathrm{~cm}$ (c) $140 \mathrm{~cm}$ (d) $80 \mathrm{~cm}$
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The fundamental frequency of a closed organ pipe is equal to second overtone of an open organ pipe. If the length of closed organ pipe is $15 \mathrm{~cm}$, the length of open organ pipe is : (a) $90 \mathrm{~cm}$ (b) $30 \mathrm{~cm}$ (c) $15 \mathrm{~cm}$ (d) $20 \mathrm{~cm}$
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