TS EAMCET · Physics · Waves and Sound
If the lengths of the open and closed pipes are in the ratio of \(2: 3\), then the ratio of the frequencies of the third harmonic of the open pipe and the fifth harmonic of the closed pipe is
- A \(3: 5\)
- B \(9: 5\)
- C \(2: 3\)
- D \(4: 9\)
Answer & Solution
Correct Answer
(B) \(9: 5\)
Step-by-step Solution
Detailed explanation
\(f_{n,o} = \frac{nv}{2L_o}\) \(f_{m,c} = \frac{mv}{4L_c}\) \(\frac{f_{3,o}}{f_{5,c}} = \frac{3v/(2L_o)}{5v/(4L_c)}\) \(\frac{f_{3,o}}{f_{5,c}} = \frac{3}{2L_o} \cdot \frac{4L_c}{5} = \frac{12L_c}{10L_o} = \frac{6L_c}{5L_o}\)…
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