Length of an Open Organ Pipe – Rankers Physics
Topic: Waves
Subtopic: Standing Wave in String and Organ Pipe

Length of an Open Organ Pipe

The two nearest harmonics of an open organ pipe are 300 Hz and 450 Hz. If speed of sound in the pipe is 300 m/s, then length of the pipe is
500 cm
75 cm
150 cm
100 cm

Solution:

For an open organ pipe, successive harmonics differ by the fundamental frequency: \( f_1 = 450 - 300 = 150\text{ Hz} \). Using \( f_1 = \frac{v}{2L} \), we get \( 150 = \frac{300}{2L} \implies L = 1\text{ m} = 100\text{ cm} \).

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