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JEE Main201910 Jan 2019Evening ShiftPhysicsWaves and SoundActual

A closed organ pipe has a fundamental frequency of 1.5   kHz . The number of overtones that can be distinctly heard by a person with this organ pipe will be ( Assume that the highest frequency a person can hear is 20,000   Hz ).

Options

  1. A7
  2. B4
  3. C6
  4. D5

Correct answer

C. 6

Step-by-step solution

For a closed organ pipe, the resonate frequency(harmonics) is an odd multiple of the fundamental frequency. Therefore, 2 n - 1 f 0 ≤ 20000   Hz , where n = 1 , 2 , 3 . . . f 0 = 1 . 5   kHz ⇒ fundamental frequency Then, n = 7 The total number of overtones that can be heard is 6 . ( 2 nd harmonic to 7 th harmonic. )

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