An open organ pipe has a fundamental frequency of 300 H_(Z) . The first overtone of a closed organ pipe has the same frequency as the first overtone of this open pipe . How long is each pipe ? (Speed of sound in air = 330 m//s)
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In an open pipe frequency = v/2l,
Frequency= n
Therefore, l= v/2n
= 330/2*300
= 11/20
As frequency of 1st overtone of open pipe = frequency of first overtone of closed pipe.
So, 2*v/2l = 3v/4l'
l' = 3l/4
l' = 3/4*11/20
l' = 0.4125 CM
Therefore, open pipe is of 55 CM and closed pipe is of 41.25 CM.