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MHT CET 2025 (26 Apr, Shift 1) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2025 (26 Apr, Shift 1)

Q37MHT CET 2025 · 26 APR · SHIFT 1Medium

Organ Pipes & Resonance Tube

An air column is of length 17 cm. The ratio of frequencies of $5$ th overtone if the air column is closed at one end to that open at both ends is (velocity of sound in air $= 340\text{ ms}^{-1}$ )

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Answer: (c)

Closed pipe, 5th overtone (11th harmonic): $\frac{11v}{4L}$ .
Open pipe, 5th overtone (6th harmonic): $\frac{6v}{2L} = \frac{12v}{4L}$ .
Ratio $= \frac{11}{12}$ (independent of $L$ and $v$ ).
So the answer is (c) $\frac{11}{12}$ .

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