If the lengths of the first and second resonating air columns are `16.5cm` and `51.5cm` respectively with a tuning fork of frequency `512Hz`, calculate the velocity of sound in air

Explanation

To calculate the velocity of sound in air based on the given lengths of the resonating air columns and the frequency of the tuning fork, we can follow these steps:

### Step 1: Understand the Resonating Conditions
The first resonating condition occurs when the length of the air column (L1) is equal to \( \frac{\lambda}{4} + e \), where \( e \) is the end correction. The second resonating condition occurs when the length of the air column (L2) is equal to \( \frac{3\lambda}{4} + e \).

### Step 2: Write the Equations for Resonating Conditions
1. For the first resonating condition:
\[
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