1.

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

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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