An open pipe is suddenly closed at one end with the result that the frequency of the third harmonic of the closed pipe is found to be higher by 100 Hz than the fundamental frequency of the open pipe. What is the fundamental frequency of the open pipe?

An open pipe is suddenly closed at one end with the result that the fr

1.	An open pipe is suddenly closed at one end with the result that the frequency of the third harmonic of the closed pipe is found to be higher by 100 Hz than the fundamental frequency of the open pipe. What is the fundamental frequency of the open pipe?
Answer» Solution :Fundamental frequency of open pipe, `v_(o)=(v)/(2L)` Frequency of THIRD harmonic of CLOSED pipe, `v_(C)=(3v)/(4L)` `:.(v_(C))/(v_(O))=(3)/(2)` (or) `v_(C)=(3)/(2)v_(O)` Given `v_(C)=v_(O)+100` `:.(3)/(2)v_(O)=v_(O)+100` Fundamental frequency (or) `v_(O)=200Hz`.