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 × 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].

⇒ Check Other Dimensional Formulas:

• Dimensions of Linear Momentum
• Dimensions of Impedance
• Dimensions of Rotational Kinetic Energy
• Dimensions of Boltzmann Constant
• Dimensions of Universal Gas Constant