If ' l ' is the length of pipe, ' r ' is the internal radius of the pipe and ' v ' is the velocity of sound in air then fundamental frequency of open pipe is

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TestHub · Accepted Answer

For an open pipe, antinodes are formed at both ends. The antinodes are formed slightly outside the open ends, which is accounted for by the end correction $e$ .

The end correction at one open end is $e = 0.6 r$ , where $r$ is the internal radius of the pipe.

Since the pipe is open at both ends, the total end correction is $2 e = 2 \times 0.6 r = 1.2 r$ .

The effective length of the pipe is $L_{e ff} = l + 2 e = l + 1.2 r$ .

The fundamental frequency of an open pipe is given by $f = \frac{v}{2 L _{e ff}}$ .

Substituting the effective length, we get $f = \frac{v}{2 ( l + 1.2 r )}$ .

Answer: $\frac{V}{2 ( l + 1 \cdot 2 r )}$

Physics - Sound Wave Question with Solution | TestHub

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