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An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by `100 Hz` then the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is |
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Answer» Correct Answer - A Length of the organ pipe is same in both the cases. Fundamental grequency of open pipe is `f_(1) = (nu)/(2l)` and frequency of third harmonic of closed pipe will be `f_(2) = 3((nu)/(4l))` Given that, `f_(2) = f_(1) + 100` or `f_(2) - f_(1) = 100` or `(3)/(4) ((nu)/(l)) - ((1)/(2)) ((nu)/(l)) = 100` rArr `(nu)/(4l) = 100 H_(Z)` :. `(nu)/(2l)` or `f_(1) = 200 H_(Z)` Therfore, fundamental frequency of the open pipe is `200 H_(Z)`. |
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