Question

For an organ pipe, the wavelength of the fundamental note is:
(A) Equal to the length of the pipe
(B) Half the length of the pipe
(C) One-fourth the length of the pipe
(D) Twice the length of the pipe

Answer 1

Hint: When the source produces the sound, the multiple frequencies (modes) of the vibrations are emitted due to the generation of the sound. The least mode of the frequency occurs due to sound generation is known as fundamental note, and other modes of the frequencies are known as overtone.


Complete step by step answer
The organ pipes come under the category of musical instruments because they are used to produce sound. The air is blown into the organ pipe, and the pressurized air moves through the open space available in the organ pipe. Due to this process, the generation of sound takes place and produces a various frequency of the vibration. The fundamental tone occurs from the organ pipe when it produces the least frequency. The organ pipes are divided into two pipes, one is an open organ pipe, and the other is a closed organ pipe. In the closed organ pipe, both ends of the pipe are kept open for the sound generation. But in the close organ pipe, one end is open, and the other end remains closed.

In an open organ pipe, the distance between any two consecutive nodes or antinodes is equal to the half of the wavelength. Thus, for an organ pipe, the wavelength of the fundamental note is twice the length of the organ pipe.

Therefore, option (D) is correct that is twice the length of the pipe


Note: in the standing wave, the node occurs where the displacement is zero and antinodes occur where the maximum displacement takes place.