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MHT CET 2023 (11 May, Shift 1) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2023 (11 May, Shift 1)

Q69MHT CET 2023 · 11 MAY · SHIFT 1Medium

Organ Pipes & Resonance Tube

The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length ' $L$ '. The length of the open pipe will be

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Answer: (c)

Open pipe second overtone: $\frac{3v}{2L_o}$ ; closed pipe first overtone: $\frac{3v}{4L}$ .
$\frac{3v}{2L_o} = \frac{3v}{4L} \Rightarrow L_o = 2L$
So the answer is (c) $2L$ .

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