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MHT CET 2025 (20 Apr, Shift 1) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2025 (20 Apr, Shift 1)

Q35MHT CET 2025 · 20 APR · SHIFT 1Medium

Organ Pipes & Resonance Tube

In fundamental mode, the time required for the sound wave to reach up to closed end of a pipe filled with air is ' tt ' second. The frequency of vibration of air column is (Neglect end correction)

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Answer: (a)

  1. Fundamental of closed pipe: f=v4Lf = \frac{v}{4L}.
  2. Time to travel the pipe length: t=Lvt = \frac{L}{v}.
  3. f=14t=(4t)−1f = \frac{1}{4t} = (4t)^{-1}
  4. So the answer is (a) (4t)−1(4t)^{-1}.
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