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

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

Q22MHT CET 2026 · 20 APR · SHIFT 1Medium

Organ Pipes & Resonance Tube

A tuning fork of frequency 'nn' is held near the open end of a tube which is dipped in water and length of the tube is adjusted until resonance occurs. If the two shortest lengths that produce resonance are l1l_1 and l2l_2, the speed of sound in air is (neglect end correction)

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Answer: (a)

  1. Successive resonating lengths of a closed tube differ by half a wavelength: l2−l1=λ2l_2 - l_1 = \frac{\lambda}{2}.
  2. λ=2(l2−l1)\lambda = 2(l_2 - l_1), so v=nλ=2n(l2−l1)v = n\lambda = 2n(l_2 - l_1)
  3. So the answer is (a) 2n(l2−l1)2n(l_2 - l_1).
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