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MHT CET 2021 (20 Sep, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2021 (20 Sep, Shift 2)

Q85MHT CET 2021 · 20 SEP · SHIFT 2Medium

Organ Pipes & Resonance Tube

Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies 150 Hz and 250 Hz. The fundamental frequency of an air column is

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Answer: (d)

A closed pipe has only odd harmonics, so consecutive harmonics differ by $2f_0$ .
$2f_0 = 250 - 150 = 100 \Rightarrow f_0 = 50\text{ Hz}$
Check: $150 = 3f_0$ , $250 = 5f_0$ .
So the answer is (d) 50 Hz.

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