MHT CET · Physics · Waves and Sound
An air column is of length 17 cm . The ratio of frequencies of \(5^{\text {th }}\) overtone if the air column is closed at one end to that open at both ends is (velocity of sound in air \(=340 \mathrm{~ms}^{-1}\) )
- A \(\frac{9}{11}\)
- B \(\frac{5}{7}\)
- C \(\frac{11}{12}\)
- D \(\frac{13}{9}\)
Answer & Solution
Correct Answer
(C) \(\frac{11}{12}\)
Step-by-step Solution
Detailed explanation
\(f_{\text{closed, 5th overtone}} = (2 \times 5 + 1) \frac{v}{4L} = 11 \frac{v}{4L}\) \(f_{\text{open, 5th overtone}} = (5 + 1) \frac{v}{2L} = 6 \frac{v}{2L}\)
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