Question:
Open organ pipe becomes closed. Find harmonic relation.
Open organ pipe becomes closed. Find harmonic relation.
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Closed pipe supports only odd harmonics.
Updated On: Apr 23, 2026
- \(n=3,\ f_2=\frac{3}{4}f_1\)
- \(n=5,\ f_2=\frac{3}{4}f_1\)
- \(n=3,\ f_2=\frac{5}{4}f_1\)
- \(n=5,\ f_2=\frac{5}{4}f_1\)
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The Correct Option is D
Solution and Explanation
Concept:
Open pipe:
\[
f_1 = \frac{v}{2L}
\]
Closed pipe:
\[
f_n = \frac{nv}{4L},\ n=1,3,5,\dots
\]
Step 1: Frequency increases
\[ f_{\text{closed}}>f_{\text{open}} \]
Step 2: Match
\[ \frac{nv}{4L} = \frac{5}{4}\cdot \frac{v}{2L} \Rightarrow n=5 \]
Step 1: Frequency increases
\[ f_{\text{closed}}>f_{\text{open}} \]
Step 2: Match
\[ \frac{nv}{4L} = \frac{5}{4}\cdot \frac{v}{2L} \Rightarrow n=5 \]
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