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MHT CET 2026 (16 Apr, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2026 (16 Apr, Shift 2)

Q2MHT CET 2026 · 16 APR · SHIFT 2Easy

Organ Pipes & Resonance Tube

An air column in a pipe which is closed at one end will be in resonance with a vibrating tuning fork of frequency 415 Hz for various vibrating air columns. Which one of the following lengths is not in resonance? (velocity of sound in air = 332 m/s) (Neglect end correction)

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Answer: (b)

$\lambda=\frac{v}{f}=\frac{332}{415}=0.8\text{ m}$ , so $\frac{\lambda}{4}=20\text{ cm}$ .
Closed pipe resonates at odd multiples of $\frac{\lambda}{4}$ : $20, 60, 100, 140\text{ cm} \ldots$
$40\text{ cm}$ is an even multiple, so the answer is (b).

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