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The air column in a pipe closed at one e...

The air column in a pipe closed at one end is made to vibrate in its second overtone by a tuning fork of frequency 440 Hz. The speed of sound in air is 330 m/s. find the length of air column.

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To solve the problem, we need to find the length of the air column in a closed pipe when it vibrates in its second overtone. We will use the relationship between frequency, speed of sound, and the length of the pipe. ### Step-by-Step Solution: 1. **Understand the Concept**: In a closed pipe, the harmonics are given by the formula: \[ f_n = \frac{(2n + 1) V}{4L} \] ...
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The air column in a pipe closed at one end is made to vibrate in its second overtone by a tuning fork of frequency 440 Hz . The speed of sound in air is 330ms^(-1) . End corrections may be neglected. Let P_(0) denote the mean pressure at any point in the pipe, and DeltaP the maximum amplitude of pressure variation. (a) What the length L of the air column. (b) What is the amplitude of pressure variation at the middle of the column? ( c ) What are the maximum and minimum pressures at the open end of the pipe? (d) What are the maximum and minimum pressures at the closed end of the pipe?

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