Question

the second overtone of an open organ pipe has the same frequency as the first overtone of an closed pipe L meter long the length of the pipe will be​

Answer 1

Answer: Length of open organ pipe is twice the length of closed pipe.

Explanation: 1st overtone frequency of closed pipe = 3v/4L----------(1)

Let length of open pipe be x.                                                                                            Now, 2nd overtone of an open pipe= 3v/2x-----------(2)                                              (1) = (2), 3v/4L = 3v/2x                                                                                                      4L = 2x   i.e, x = 2L