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MHT CET 2023 (13 May, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2023 (13 May, Shift 2)

Q68MHT CET 2023 · 13 MAY · SHIFT 2Medium

Organ Pipes & Resonance Tube

A closed pipe and an open pipe have their first overtone equal in frequency. Then, the lengths of these pipe are in the ratio

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Answer: (c)

Closed pipe first overtone: $\frac{3v}{4L_c}$ ; open pipe first overtone: $\frac{2v}{2L_o} = \frac{v}{L_o}$ .
$\frac{3v}{4L_c} = \frac{v}{L_o} \Rightarrow L_c : L_o = 3 : 4$
So the answer is (c) $3:4$ .

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