# Dimensions of Surface Tension

## Dimensional Formula of Surface Tension

The dimensional formula of surface tension is given by,

M1 LT-2

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Surface Tension (T) = Force × Length-1 . . . . . (1)

Since, Force = Mass × Acceleration

And, acceleration = velocity × time-1 = [L T-2]

∴ The dimensional formula of force =  M1 L1 T-2 . . . . (2)

On substituting equation (2) in equation (1) we get,

Surface Tension (T) = Force × Length-1

Or, T = [M1 L1 T-2] × [L-1] = M1 T-2.

Therefore, surface tension is dimensionally represented as M1 T-2.

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