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MHT CET 2026 (12 May, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2026 (12 May, Shift 2)

Q13MHT CET 2026 · 12 MAY · SHIFT 2Medium

Organ Pipes & Resonance Tube

The third overtone of a closed organ pipe is in unison with $3^{rd}$ overtone of an open pipe. The ratio of length of closed to open pipe is

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Answer: (d)

Closed pipe, third overtone (7th harmonic): $\frac{7v}{4L_c}$ .
Open pipe, third overtone (4th harmonic): $\frac{4v}{2L_o} = \frac{2v}{L_o}$ .
$\frac{7}{4L_c} = \frac{2}{L_o} \Rightarrow \frac{L_c}{L_o} = \frac{7}{8}$
So the answer is (d) $\frac{7}{8}$ .

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