Question:
Consider the propagation of sound (with velocity $330$ m/s) in a pipe of length $1.5$ m with one end closed and the other open. The frequency associated with the fundamental mode is
Consider the propagation of sound (with velocity $330$ m/s) in a pipe of length $1.5$ m with one end closed and the other open. The frequency associated with the fundamental mode is
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For closed pipes, only odd harmonics exist and fundamental frequency is $v/4L$.
Updated On: May 1, 2026
- $11$ Hz
- $55$ Hz
- $110$ Hz
- $165$ Hz
- $275$ Hz
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The Correct Option is B
Solution and Explanation
Concept:
For pipe closed at one end: \[ f = \frac{v}{4L} \]
Step 1: Substitute values.
\[ f = \frac{330}{4 \times 1.5} = \frac{330}{6} \]
Step 2: Calculate.
\[ f = 55 \text{ Hz} \]
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