A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically i

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A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

Accepted Answer

Fundamental frequency of open pipe (at both ends) $f = \frac{v}{2L}\ldots$ (i)

Now immersed in water open pipe behaves as closed pipe.

$$\begin{array}{r} f^{'} = \frac{v}{4\left( \frac{L}{2} \right)} = \frac{v}{2L}\#(ii) \\ f = f^{'}\#(ii) \end{array}$$

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