Question:
Fundamental frequency of an open pipe is $fₒ$. Fundamental frequency when it is half filled with water is
Fundamental frequency of an open pipe is $fₒ$. Fundamental frequency when it is half filled with water is
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Fundamental frequency of an open pipe is $fo$. Fundamental frequency when it is half filled with water is
Updated On: Apr 15, 2026
- $f_{o}$
- $f_{o}/2$
- $2f_{o}$
- $3f_{o}$
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The Correct Option is A
Solution and Explanation
Step 1: Open Pipe
Frequency of open pipe $f_o = \frac{v}{2L}$.
Step 2: Half Filled Pipe
If half submerged, it becomes a closed organ pipe of length $L/2$.
Step 3: Frequency Calculation
$$f_{c} = \frac{v}{4(L/2)} = \frac{v}{2L} = f_{o}$$
Step 4: Conclusion
The frequency remains unchanged.
Final Answer: (A)
Frequency of open pipe $f_o = \frac{v}{2L}$.
Step 2: Half Filled Pipe
If half submerged, it becomes a closed organ pipe of length $L/2$.
Step 3: Frequency Calculation
$$f_{c} = \frac{v}{4(L/2)} = \frac{v}{2L} = f_{o}$$
Step 4: Conclusion
The frequency remains unchanged.
Final Answer: (A)
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