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MHT CET 2025 (19 Apr, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2025 (19 Apr, Shift 2)

Q36MHT CET 2025 · 19 APR · SHIFT 2Medium

Organ Pipes & Resonance Tube

In an organ pipe closed at one end; the sum of the frequencies of first three overtones is 3930 Hz. The frequency of the fundamental mode of organ pipe is

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Answer: (b)

Closed pipe overtones are odd harmonics: first three overtones $= 3f, 5f, 7f$ .
$3f + 5f + 7f = 15f = 3930$
$f = \frac{3930}{15} = 262\text{ Hz}$
So the answer is (b) 262 Hz.

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