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

Options

A. `v/(2L)` and only odd harmonies are present.
B. `v/(2L)` and only even harmonies are present.
C. `v/(2L)` and all harmonies are present.
D. `v/(4L)` and only odd harmonies are present.

Answer

C

Explanation

An organ pipe of length open at both ends vibrates with frequency given by
`upsilon_(n)=(nv)/(2L)` where n=1,2,3,4,…
The fundamental frequency corrresponds to n=1 and is given by
`upsilon_(1)=v/(2L)`
In an open pipe all harmonics are present.