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MHT CET 2026 (12 May, Shift 1) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2026 (12 May, Shift 1)

Q14MHT CET 2026 · 12 MAY · SHIFT 1Medium

Organ Pipes & Resonance Tube

A pipe closed at one end vibrating in the sixth overtone is in unison with the open pipe vibrating in its sixth overtone. The ratio $l_c : l_o$ is $\{l_c =$ vibrating length of pipe closed at one end, $l_o =$ vibrating length of pipe open at both ends $\}$

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Answer: (a)

Closed pipe, sixth overtone (13th harmonic): $\frac{13v}{4l_c}$ .
Open pipe, sixth overtone (7th harmonic): $\frac{7v}{2l_o}$ .
$\frac{13}{4l_c} = \frac{7}{2l_o} \Rightarrow \frac{l_c}{l_o} = \frac{26}{28} = \frac{13}{14}$
So the answer is (a) $13 : 14$ .

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