Question

Show that in an open organ pipe all harmonics are present

Answer 1

Hey,

incase of closed pipe, only odd harmonics are possible, but incase of open pipe, all harmonics are possible.

REFER TO IMAGE ATTACHED.

HOPE THIS HELPS YOU.

Answer 2

Open the pipe for all available harmonics are:

• Students should keep in mind that both abnormalities and harmonics are present in the open organ while only abnormal harmonics are present in the closed organ.
• All harmonics are not present in the closed limb.
• The amount of any frequency tone produced by the organ pipe will be below its basic frequency.
• The tube where both ends are open is called the open organ.
• The flute is an example of an organ.

Initial vibration mode:

• In the vibration mode in the organ pipe, two antinodes are formed in two open spaces and one node is formed between them.

• If the length of the pipe is ‘l’ and it is the wavelength of the wave that is emitted from this vibration mode.
• In vibration mode in the organ pipe, two antinodes are formed at two open ends and one node is formed between them.
• If the pipe length is ‘L’ and λ 0 is the wavelength of the wave emitted in this vibration mode.
• Then, L = 2 λ 0/4.