Answer :

Given:
Length of closed organ pipe
L1 = 30 cm
Length of open organ pipe
L2 =?


Let and be the frequencies of the closed and open organ pipes, respectively.
The first overtone frequency of a closed organ pipe
P1 is given by




Where
v is the speed of sound in air.



On substituting the respective values, we get:



Fundamental frequency of an open organ pipe is given by:



As per the question,





the length of the pipe P2 will be 20 cm.


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