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MHT CET 2026 (15 Apr, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2026 (15 Apr, Shift 2)

Q18MHT CET 2026 · 15 APR · SHIFT 2Medium

Organ Pipes & Resonance Tube

When open pipe is closed from one end then second overtone of closed pipe is higher in frequency by 100 Hz than first overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

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Answer: (a)

Open pipe fundamental $f = \frac{v}{2L}$ ; closing one end gives fundamental $\frac{f}{2}$ .
Closed second overtone (5th harmonic) $= \frac{5f}{2}$ ; open first overtone (2nd harmonic) $= 2f$ .
$\frac{5f}{2} - 2f = \frac{f}{2} = 100 \Rightarrow f = 200\text{ Hz}$
So the answer is (a) $200$ Hz.

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