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NEET 2017 · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from NEET 2017

Q109NEET 2017Easy

Organ Pipes & Resonance Tube

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?

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Answer: (a)

Closed pipe has only odd harmonics, so neighbouring ones differ by $2f_0$ .
$2f_0=260-220=40 \Rightarrow f_0=20\text{ Hz}$ (check: $220=11f_0$ , $260=13f_0$ ).
So the answer is (a) 20 Hz.

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