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MHT CET202410 May 2024Morning ShiftPhysicsWaves and SoundActual

The pipe open at both ends and pipe closed at one end have same length and both are vibrating in fundamental mode. Air column vibrating in open pipe has resonance frequency n₁ and air column vibrating in closed pipe has resonance frequency n ₂ , then

Options

  1. An ₁=2 n ₂
  2. Bn ₁= n ₂
  3. C2 n ₁= n ₂
  4. D3 n ₁=4 n ₂

Correct answer

A. n ₁=2 n ₂

Step-by-step solution

Resonant frequency in open pipe, n ₁= V 2 ~L Resonant frequency in closed pipe, n ₂= V 4 ~L array rlrl & & n ₂ & = V 2 2 ~L & n ₂ & = n ₁ 2 & & n ₁ & =2 n ₂ array

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