An open pipe of length L is emitting its fundamental frequency . If one end of the pipe is closed , then the frequency of the first overtone 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 closed pipe ?

Options

A. 100 Hz
B. 150 Hz
C. 200 hz
D. 250 Hz

Answer

A

Explanation

For the closed pipe, the frequency of first of first over tone ` = (3V)/(4L) `
For an open pipe, ` n = V/(2L) `
`:. (3V)/(4L) - V/(2L) = 100 :. V/(4L) = 10`
` :. n = V/(4L) = 100 ` Hz