The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length ' L '. The length of the open pipe will be

Step-by-step solution

The length of closed pipe is denoted using L . Let l be the length of open pipe and v be the velocity. Frequency of second overtone of an open organ pipe is n _ o = 3 v 2 l Frequency of first overtone of a closed pipe is n _ c = 3 v 4 ~L Given: n ₀= n _ c 3 v 2 l = 3 v 4 ~L L = l 2 l=2 ~L