Question #22837

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?

Expert's answer

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.

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.

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