A boy plays a flute at a recital, and closes all the top holes on it so that it

Question

A boy plays a flute at a recital, and closes all the top holes on it so that it acts like on big 2 open ended pipe.

a)_ What is the approximate fundamental frequency that is being played?

b) What is the frequency of the 3rd harmonic? Justify your answer mathematically.

c) Assuming the speed of sound is 343 m/s, how long is the flute?

d) If the flute wer shortened to 1/9 the length and played in the same fashion, by what factor would the fundamental frequency change? Justify your answer mathematically while noting if it either increases or decreases.

***ignore pen on image

Explanation / Answer

a) 15*k = L , k = wavelength of the sound wave. => k = L/15.

from the length specified calculate teh frequencty as f = 343/k.

2)

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