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MHT CET 2025 (20 Apr, Shift 1) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2025 (20 Apr, Shift 1)

Q44MHT CET 2025 · 20 APR · SHIFT 1Medium

Organ Pipes & Resonance Tube

Two pipes of lengths $L_1$ and $L_2$ , open at both ends are joined in series. If ' $f_1$ ' and ' $f_2$ ' are the fundamental frequencies of two pipes, then the fundamental frequency of series combination will be (neglect end correction)

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Answer: (c)

Open pipes: $L_1 = \frac{v}{2f_1}$ , $L_2 = \frac{v}{2f_2}$ .
Combined open pipe: $f = \frac{v}{2(L_1 + L_2)} = \frac{1}{\frac{1}{f_1} + \frac{1}{f_2}}$
$f = \frac{f_1 f_2}{f_1 + f_2}$ , so the answer is (c).

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