Question:
A closed organ pipe and an open organ pipe have the same length. The ratio of the frequencies in their third mode of vibrations is
A closed organ pipe and an open organ pipe have the same length. The ratio of the frequencies in their third mode of vibrations is
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Closed pipe modes: 1,3,5... ; Open pipe: 1,2,3...
Updated On: Apr 24, 2026
- \(3:1\)
- \(2:3\)
- \(5:6\)
- \(4:5\)
- \(3:5\)
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The Correct Option is C
Solution and Explanation
Concept:
• Closed pipe: only odd harmonics
• Open pipe: all harmonics
Step 1: Third mode.
• Closed pipe $\rightarrow$ 5th harmonic
• Open pipe $\rightarrow$ 3rd harmonic
Step 2: Frequency ratio.
\[ f \propto n \Rightarrow 5 : 6 \]
• Closed pipe: only odd harmonics
• Open pipe: all harmonics
Step 1: Third mode.
• Closed pipe $\rightarrow$ 5th harmonic
• Open pipe $\rightarrow$ 3rd harmonic
Step 2: Frequency ratio.
\[ f \propto n \Rightarrow 5 : 6 \]
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