The surface tension 'S' of a liquid rising in a capillary tube is supposed to depend upon mass 'm' of the liquid, pressure 'p' of the liquid and radius 'r' of the capillary tube. Obtain an expression for 'S' using the method of dimensions.
Take dimensionless constant `K=1"/"2`.

Explanation

To derive the expression for surface tension \( S \) of a liquid in a capillary tube using dimensional analysis, we will follow these steps:

### Step 1: Identify the Variables
The surface tension \( S \) is said to depend on three variables:
- Mass of the liquid \( m \)
- Pressure of the liquid \( p \)
- Radius of the capillary tube \( r \)

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