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MHT CET 2025 (5 May, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2025 (5 May, Shift 2)

Q34MHT CET 2025 · 5 MAY · SHIFT 2Medium

Organ Pipes & Resonance Tube

An organ pipe closed at one end has fundamental frequency of 1500 Hz. The maximum number of overtones generated by this pipe which a normal person can hear is (Normal man can hear the frequency up to 19.5 kHz, Neglect end correction)

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Answer: (a)

Closed pipe gives only odd harmonics: $(2n+1)f_0$ , where $n$ = overtone number.
$(2n+1)(1500) \le 19500 \Rightarrow 2n+1 \le 13$
$2n+1 = 13 \Rightarrow n = 6$ overtones.
So the answer is (a) 6.

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