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MHT CET Medical202622 April 2026Morning ShiftPhysicsWaves and SoundActual

The ratio of frequencies of the second overtone produced by an open pipe to that of closed pipe having the same length is

Options

  1. A4 : 3
  2. B6 : 5
  3. C3 : 4
  4. D5 : 6

Correct answer

B. 6 : 5

Step-by-step solution

For an open pipe of length L , the frequency of the n -th harmonic is f_n = nv 2L . The second overtone corresponds to the third harmonic ( n = 3 ). f_ o = 3v 2L For a closed pipe of length L , the frequency of the m -th harmonic is f_m = mv 4L , where m is an odd integer. The second overtone corresponds to the fifth harmonic ( m = 5 ). f_ c = 5v 4L The ratio of their frequencies is: f_ o f_ c = 3v 2L 5v 4L = 3 2 4 5 = 6 5 Answer: 6 : 5

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