Question

Please answer this today is my exam.
URGENT
An air column in a pipe closed at one end vibrates in unison with a pipe open
at both ends in the mode of second overtone. Compare their lengths.

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Answer 1

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Consider a pipe closed at one end and open at the other. If a vibrating tuning fork of proper frequency is held near its open end, it sends longitudinal waves in the pipe. They are reflected from the closed end. The incident and reflected waves interfere and stationary waves are formed.

The closed end acts as a rigid wall. The air at the closed end is not free to vibrate. Hence a node is formed at the closed end. Air at the open end is free to vibrate with maximum amplitude and antinode is formed at the open end. This is the simplest mode of vibration of an air column closed at one end and is called the fundamental mode.

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