The frequency of vibration of a string depends of on, (i) tension in the string (ii) mass per unit length of string, (iii) vibrating length of the string. Establish dimensionally the relation for frequency.

Explanation

To establish the dimensional relation for the frequency of vibration of a string based on tension (T), mass per unit length (M), and vibrating length (L), we can follow these steps:

### Step 1: Identify the Variables
We denote:
- Frequency of vibration as \( \nu \)
- Tension in the string as \( T \)
- Mass per unit length as \( M \)
- Vibrating length of the string as \( L \)
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