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MHT CET 2026 (20 May, Shift 1) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2026 (20 May, Shift 1)

Q10MHT CET 2026 · 20 MAY · SHIFT 1Medium

Organ Pipes & Resonance Tube

A pipe open at both ends has length $1$ m. The air column in a pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air $= 340$ m/s)

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Answer: (d)

Open pipe: $f_n = \frac{nv}{2L}$ , fundamental $= \frac{340}{2 \times 1} = 170\text{ Hz}$ .
Allowed: $170, 340, 510, \dots$ (integer multiples of 170 Hz).
$85\text{ Hz} = \frac{1}{2}\times 170$ is not a multiple, so it cannot resonate.
So the answer is (d) $85$ Hz.

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