Question

In an organ pipe of length $L$ open at both ends, the fundamental mode has a frequency
(where $\nu$ is a speed of sound in air)

• A. $\frac{\nu }{2L}$ and only odd harmonics are present.
• B. $\frac{\nu }{2L}$ and only even harmonics are present.
• C. $\frac{\nu }{2L}$ and all harmonics are present.
• D. $\frac{\nu }{4L}$ and only odd harmonics are present.

Answer 1

The correct option is C $\frac{\nu }{2L}$ and all harmonics are present.

An organ pipe of length $L$ open at both ends vibrates with frequencies given by
${\upsilon }_n=\frac{n\nu }{2L}wheren=1,2,3,4,......$
the fundamental frequency corresponds to $n=1$ and is given by
${\upsilon }_1=\frac{\nu }{2L}$
In an open pipe all harmonic are present.