MHT CET · Physics · Waves and Sound
The frequency of fourth overtone of a closed pipe is in unison with the fifth overtone of an open pipe. The ratio of length of closed pipe to that of open pipe is
- A \(2: 3\)
- B \(3: 4\)
- C \(4: 5\)
- D \(5: 6\)
Answer & Solution
Correct Answer
(B) \(3: 4\)
Step-by-step Solution
Detailed explanation
Frequency of fourth overtone (9th harmonic) of closed pipe: \(f_c = \frac{9v}{4L_c}\) Frequency of fifth overtone (6th harmonic) of open pipe: \(f_o = \frac{6v}{2L_o} = \frac{3v}{L_o}\)
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