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The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is 5 / x . The value of x is _ _ _ _ .

Options

  1. A3
  2. B4
  3. C1
  4. D2

Correct answer

D. 2

Step-by-step solution

Fifth harmonic of closed organ pipe equals first harmonic of open pipe: f_ 5 closed = f_ 1 open 5v 4L_ closed = v 2L_ open L_ closed L_ open = 5 2 Since the ratio is 5 x , we get x = 2 .

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