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MHT CET202012 Oct 2020Morning ShiftPhysicsWaves and SoundActual

On closing an open organ pipe from one end, it is noticed that the frequency of third harmonic is 50 ~Hz more than the fundamental frequency of vibration in open organ pipe. The fundamental frequency of open organ pipe is

Options

  1. A250 ~Hz
  2. B100 ~Hz
  3. C50 ~Hz
  4. D200 ~Hz

Correct answer

B. 100 ~Hz

Step-by-step solution

Fundamental frequency of closed pipe = n ₁= V 4 Frequency of third harmonic n₃= 3 ~V 4 Fundamental frequency of open pipe =n₁ ^ = V 2 3 ~V 4 - V 2 =50 V 4 =50 V 2 =100 ~Hz

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