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If sound travels in air with the speed of 340   m   s - 1 , then the number of tones present in an open organ pipe of length 2   m for a maximum frequency of 1200   Hz , are

Options

  1. A17
  2. B11
  3. C9
  4. D14

Correct answer

D. 14

Step-by-step solution

Given, speed of sound, v = 340   m   s - 1 Length of open organ pipe, l = 2   m Frequency, f = 1200   Hz For open organ pipe, Fundamental frequency, f 0 = v 2 l = 340 2 × 2 = 85 ∴ Number of tones present in the open organ pipe = f f 0 = 1200 85 = 14 . 11 ≃ 14

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