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.

Explanation

To find the length of the air column in a closed pipe vibrating in its second overtone, we can follow these steps:

### Step 1: Understand the relationship of frequency and length in a closed pipe
For a closed pipe, the frequencies of the harmonics are given by the formula:
\[ f_n = \frac{(2n + 1)v}{4L} \]
where \( n \) is the harmonic number (0 for the fundamental frequency, 1 for the first overtone, 2 for the second overtone), \( v \) is the speed of sound in air, and \( L \) is the length of the air column.

### Step 2: Identify the parameters
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