Question

An organ pipe has fundamental frequency 100 Hz. If its one end is closed, the frequencies produced will be ______.

Options

• 100, 200, 300,...Hz

• 50, 100, 200, ...Hz

• 50, 150, 250, ...Hz

• 50, 100, 150, 200,...Hz

Answer 1

An organ pipe has fundamental frequency 100 Hz. If its one end is closed, the frequencies produced will be 50, 150, 250, ...Hz.

Explanation:

For open pipe fundamental frequency

${\displaystyle =\frac{\text{V}}{2l}=100}$ Hz

For closed pipe fundamental frequency

${\displaystyle =\frac{\text{V}}{4l}=50}$ Hz

For closed pipe only odd harmonics are produced, which are 50, 150, 250,....