Dimensional Formula of Surface Energy
The dimensional formula of surface energy is given by,
[M1 L0 T-2]
- M = Mass
- L = Length
- T = Time
Surface energy (E) = Energy × [Area]-1 . . . (1)
Since, Energy = Force × displacement = m × a × displacement
Or, Energy = [M1 × M0 L1 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].