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MHT CET 2021 (20 Sep, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2021 (20 Sep, Shift 2)

Q80MHT CET 2021 · 20 SEP · 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 264 Hz for various lengths. Which one of the following lengths is not possible? (V = 330 m/s)

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Answer: (a)

$\lambda=\frac{330}{264}=1.25\text{ m}$ , so $\frac{\lambda}{4}=31.25\text{ cm}$ .
Possible lengths are odd multiples: $31.25, 93.75, 156.25\text{ cm} \ldots$
$62.50\text{ cm}=2\times\frac{\lambda}{4}$ is not possible, so the answer is (a).

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