Dimension of Surface Tension: Surface tension is the propensity of liquid surfaces that are at rest to condense into the smallest surface area. It is due to Surface Tension that objects ranging from small needles to large ships can float over water while being partially submerged. Due to cohesion, liquid molecules are more drawn to one another, increasing surface tension. The Dimension of Surface Tension is

*M ^{1}L^{0}T^{ -2 } *

In this article, we obtain the Dimension of Surface Tension along with its derivations.

## Dimension of Surface Tension and Its Derivation

The Dimensional Formula of Surface Tension is

### Derivation of Dimensional Formula of Surface Tension

The Dimensional Formula is written as follows.

Where L is Length, M is Mass, T is Time and a, b and c are the powers of M, L and T respectively

To Derive the Dimensional Formula of Surface Tension, we need to know the following

Dimension of Mass = M^{1}L^{0}T^{0}

Dimension of Distance = M^{0}L^{1}T^{0}

Dimension of Time = M^{0}L^{0}T^{1}

Dimension of Velocity = M^{0}L^{1}T^{-1}

We know that

The Dimensional Formula of Force is M^{1}L^{1}T^{-2}. Click here to view the derivation

Hence proved that the Dimension of Surface Tension M^{1}L^{0}T^{-2 }

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