Find the dimensions of (i) force (ii) surface tension and (iii) momentum in terms of frequency, velocity and density as fundamental units.

Explanation

To find the dimensions of force, surface tension, and momentum in terms of frequency (f), velocity (v), and density (ρ), we will follow a systematic approach. We will express each quantity in terms of these three fundamental quantities and derive their dimensions step by step.

### Step 1: Dimensions of Force

1. **Start with the known dimensions of force**:
\[ [F] = [M][L][T^{-2}] \]
...