Answer to Question #22837 in Acoustics for Aadharsh Raja

Question

An organ pipe is closed at one end has fundamental frequency 1500 Hz. What is the maximum number of fundamental overtones generated by the pipe which a normal can hear?

Answer 1

Frequencies in a closed organ pipe are - v/4L, 3v/4L, 7v/4L etc.
For first overtone, frequency = 3 x 1500 = 4500 Hz
For second overtone, frequency = 5 x 1500 = 7500 Hz
For third overtone, frequency = 7 x 1500 = 10500 Hz
As we go on, the sixth overtone is 13 x 1500 = 19500 Hz.
The limit of audibility is 20000 Hz. Therefore, a maximum of 6 overtones can be heard by a normal person.

Answer: 6 overtones.