Question

Two organ pipes of the same length, open at both ends produces sound of different frequencies, if their radii are different. Why?

Answer 1

The sound of varying frequencies will be produced, when the radii different but same length.

Explanation:

• When the pipe is kept open on its both ends then the sound waves produced from it will be analogous to the wave condition that is being produced by a string that is open at both ends.
• The frequency of the wave will be the function of the pipe's length or the string's length.
• The frequency of the wave that is being produced for the open-ends is mathematically given as,$V= V_{speed}\frac{2L} }$ / 2L
• Here L will be the length of the pipe.
• The corrected expression will be also a function of radii also,which is given by;

• $V=V_{speed} /2(L+1.2r)$

• Here r will be the radius.
• Thus, the sound of varying frequencies will be produced, when the radii different but same length.

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