A child\'s train whistle replicates a classic conductor\'s whistle from the earl

Question

A child's train whistle replicates a classic conductor's whistle from the early 1900s. This whistle has two open-open tubes that produce two different frequencies. When you hear these two different frequencies simultaneously, you may have the perception of also hearing a lower note, called a difference tone, that is at the same frequency as the beat frequency between the two notes. The two tubes of the whistle are 14 cm and 12 cm in length. Assuming a sound speed of 350 m/s, what is the frequency of this difference tone?

Explanation / Answer

In order to do this, consider that it is an open-open tube, meaning you should use the 1st harmonic, with the equation being f1= v/(2*L). Plug the given velocity of the sound speed, and the .14 meters in. You then do the same thing with the .12 meters. Then take the absolute value of the difference of these two frequency to get the answer.

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