The fundamental frequency of an open organ pipe is 300 ~Hz . The first overtone of this pipe has same frequency as first overtone of a closed organ pipe. If speed of sound is 330 ~m / s , then the length of closed organ pipe is

Step-by-step solution

For open pipe, n = v 2 , where n ₀ is the fundamental frequency of open pipe. = v 2 n = 330 2 300 = 11 20 As freq. of 1 st overtone of open pipe = freq. of 1 st overtone of closed pipe aligned 2 v 2 =3 v 4 ^ ^ &= 3 4 = 3 4 11 20 &=41.25 ~cm aligned