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The fundamental frequency of open pipe is 'n'. If it is closed from one end then frequency of the 2^ nd harmonic of closed pipe is higher by 200 ~Hz than ^ n ^ . The value of 'n' is

Options

  1. A800 ~Hz
  2. B200 ~Hz
  3. C100 ~Hz
  4. D400 ~Hz

Correct answer

D. 400 ~Hz

Step-by-step solution

n = v 2 2^ nd harmonic =1^ st overtone =(2 p +1) n ₀=3 n ₀ 3 v 4 - v 2 =200 v 2 ( 3 2 -1 )=200 v 2 =400

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