The frequency of vibration (v) of a string may depend upon length (I) of the string, tension (T) in the string and mass per unit length (m) of the string. Using the method of dimensions, derive the formula for v.

Explanation

To derive the formula for the frequency of vibration (v) of a string using the method of dimensions, we follow these steps:

### Step 1: Identify the Variables
The frequency \( v \) depends on:
- Length of the string \( L \) (denoted as \( I \))
- Tension in the string \( T \)
- Mass per unit length \( m \)

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