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A organ pipe open on both ends in the n ^ th harmonic is in resonance with a source of 1000 Hz . The length of pipe is 16.6 cm and speed of sound in air is 332 ~m / s . Find the value of n .

Options

  1. A3
  2. B2
  3. C1
  4. D4

Correct answer

C. 1

Step-by-step solution

Given that, f =1000 ~Hz , v =332 ~m / s , l =16.6 ~cm =16.6 10⁻² ~m Frequency in a organ pipe open on both ends, f = nv 2 l or n = 2 fl v or n = 2 1000 16.6 10⁻² 332 =1

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