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Welcome to the article Is the following statement true or false The longest wavelength that can resonate in an open pipe resonator is four times the length of the. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

Is the following statement true or false?

The longest wavelength that can resonate in an open-pipe resonator is four times the length of the pipe.

True / False

Answer :

Final answer:

The longest wavelength that can resonate in an open-pipe resonator is twice the length of the pipe, not four times.

Explanation:

The statement that the longest wavelength that can resonate in an open-pipe resonator is four times the length of the pipe is false. In an open-pipe resonator, such as a flute or an organ pipe, the longest wavelength that can resonate is twice the length of the pipe, not four times. This is because the wavelength of a standing wave in a pipe is equal to twice the length of the pipe.

For example, if the length of an open-pipe resonator is 1 meter, the longest wavelength that can resonate is 2 meters. This principle follows from the fundamental harmonics of the pipe, where the first harmonic has a quarter wavelength that fills the full length of the pipe, resulting in a wavelength twice the length of the pipe.

Therefore, the statement is incorrect, and the longest wavelength that can resonate in an open-pipe resonator is twice the length of the pipe, not four times.

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Rewritten by : Brahmana