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

Options

A. `480 Hz`
B. `300 Hz`
C. `240 Hz`
D. `200 Hz`

Answer

D

Explanation

Fundamental frequency of open organ pipe `=(v)/(2l)`
Frequency of third harmonic of closed pipe `=(3v)/(4l)`
`:. (3v)/(4l)=100+(v)/(2l)`
`implies(3v)/(4l)-(2v)/(4l)=(v)/(4l)=100implies(v)/(2l)=200Hz`