Dimensional Formula of Heat Energy

The dimensional formula of Heat Energy is given by,

[M¹ L² T^-2]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Energy is the ability to do work.

∴ dimensional formula of Energy = dimensional formula of Work

Work (W) = Force (F) × Displacement . . . . . (1)

Since, F = M × a = M × [M⁰ L¹ T^-2]

∴ The dimensions of Force (F) = M¹ L¹ T^-2 . . . . (2)

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

Work = [M¹ L¹ T^-2] × [M⁰ L¹ T⁰] = [M¹ L² T^-2].

Therefore, heat energy is dimensionally represented as [M¹ L² T^-2].

⇒ Check Other Dimensional Formulas:

• Dimensions of Weight
• Dimensions of Momentum
• Dimensions of Boltzmann Constant
• Dimensions of Power of Lens
• Dimensions of Dipole Moment