The frequency of the first overtone of a closed organ pipe is same as that of first overtone of an open organ pipe. What is the ration of their lengths?

Explanation

Frequency of first overtone of closed pipe,
`n_(1)=(3v)/(4l_(1))`
Frequency of 1st overtone of open pipe,
`n_(2)=(2v)/(2l_(2))`
As `n_(1)=n_(2) :. (3v)/(4l_(1))=(2v)/(2l_(2)) :. (l_(1))/(l_(2))=(3)/(4)`