wave_mechanics organ_pipe_vibration_of_air_column Question 30
Question: 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 open pipe is:
[UPSEAT 2001; Pb. PET 2004]
Options:
A) 480 Hz
B) 300 Hz
C) 240 Hz
D) 200 Hz
Show Answer
Answer:
Correct Answer: D
Solution:
Fundamental frequency of open organ pipe $ =\frac{v}{2l} $ Frequency of third harmonic of closed pipe $ =\frac{3V}{4l} $
$ \therefore \frac{3v}{4l}=100+\frac{v}{2l} $
$ \Rightarrow \frac{3v}{4l}-\frac{2v}{4l}=\frac{v}{4l}=100 $
$ \Rightarrow \frac{V}{2l}=200Hz.
$
BETA
