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The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm the length of the open organ pipe is
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Correct option is A
For closed organ pipe, third harmonic is 3v4l For open organ pipe, fundamental frequency is v2l'Given, third harmonic for closed organ pipe = fundamental frequency for open organ pipe.∴ 3v4l=v2l'⇒l'=4l3×2=2l3where l and l' are the lengths of closed and open organ pipes respectively.∴ =2×203=13.33 cm
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In a resonance tube experiment, the first two resonances are observed at length 10.5 crn and 29.5 cm. The third resonance is observed at the length __(cm).
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