Dimensions of Surface Energy

Dimensional Formula of Surface Energy

The dimensional formula of surface energy is given by,

[M1 L0 T-2]

Where,

  • M = Mass
  • L = Length
  • T = Time

Derivation

Surface energy (E) = Energy × [Area]-1 . . . (1)

Since, Energy = Force × displacement = m × a × displacement

Or, Energy = [M1 × ML1 T-2 × L1]

Therefore, the dimensional formula of energy = [M1 L2 T-2] . . . (2)

And, the dimensional formula of area = [M0 L2 T0] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Surface energy = Energy × [Area]-1

Or, E = [M1 L2 T-2] × [M0 L2 T0]-1 = [M1 L0 T-2].

Therefore, the surface energy is dimensionally represented as [M1 L0 T-2].

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