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MHT CET 2021 (22 Sep, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2021 (22 Sep, Shift 2)

Q87MHT CET 2021 · 22 SEP · SHIFT 2Medium

Organ Pipes & Resonance Tube

A tuning fork of frequency ' $n$ ' is held near the open end of tube which is closed at the other end and the lengths are adjusted until resonance occurs. The first resonance occurs at length $L_1$ and immediate next resonance occurs at length $L_2$ . The speed of sound in air is

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Answer: (c)

First two resonances: $L_1 + e = \frac{\lambda}{4}$ , $L_2 + e = \frac{3\lambda}{4}$ .
Subtract: $L_2 - L_1 = \frac{\lambda}{2} \Rightarrow \lambda = 2(L_2 - L_1)$ .
$v = n\lambda = 2n(L_2 - L_1)$
So the answer is (c) $2n(L_2 - L_1)$ .

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