MHT CET · Physics · Waves and Sound
The \(3^{\text {rd }}\) overtone of a closed organ pipe is in unison with \(3^{\text {rd }}\) overtone of an open pipe. The ratio of the length of the closed pipe to length of open pipe is
- A \(\frac{7}{8}\)
- B \(\frac{4}{3}\)
- C \(\frac{6}{5}\)
- D \(\frac{7}{9}\)
Answer & Solution
Correct Answer
(A) \(\frac{7}{8}\)
Step-by-step Solution
Detailed explanation
Frequency of \(3^{\text{rd}}\) overtone of closed pipe: \(f_c = \frac{7v}{4L_c}\) Frequency of \(3^{\text{rd}}\) overtone of open pipe: \(f_o = \frac{4v}{2L_o} = \frac{2v}{L_o}\)
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