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MHT CET202526 Apr 2025Evening ShiftPhysicsWaves and SoundActual

The fundamental frequency of an air column in a pipe closed at one end is 150 Hz . If the same pipe is open at both the end, the frequencies produces in Hz are

Options

  1. A150, 300, 450, 600, ........
  2. B300,450,600,750, .
  3. C300,400,500,600,
  4. D300,600,900,1200,

Correct answer

D. 300,600,900,1200,

Step-by-step solution

For a pipe closed at one end with fundamental frequency f_c = 150 , Hz , the relation f_c = v/(4L) yields v/L = 600 , Hz . If the same pipe is open at both ends, its fundamental frequency is f_o = v/(2L) = 300 , Hz . An open pipe supports harmonics at integer multiples of f_o , producing frequencies 300 , 600 , 900 , 1200 , , Hz . This matches option D .

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