Dimensional Formula of Surface Tension

The dimensional formula of surface tension is given by,

M¹ L⁰ T^-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.

⇒ Check Other Dimensional Formulas:

• Dimensions of Momentum
• Dimensions of Stress
• Dimensions of Rotational Kinetic Energy
• Dimensions of Boltzmann Constant
• Dimensions of Impedance

Surface Tension