When open pipe is closed from one end then third overtone of closed… | MHT CET 2026 (16 Apr, Shift 2)

Q17MHT CET 2026 · 16 APR · SHIFT 2Medium

Organ Pipes & Resonance Tube

When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by 150Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

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Answer: (d)

Open pipe fundamental $f = \frac{v}{2L}$ ; closing one end gives fundamental $\frac{v}{4L} = \frac{f}{2}$ .
Closed third overtone (7th harmonic) $= \frac{7f}{2}$ ; open second overtone (3rd harmonic) $= 3f$ .
$\frac{7f}{2} - 3f = \frac{f}{2} = 150 \Rightarrow f = 300\text{ Hz}$
So the answer is (d) $300$ Hz.

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