Dimensions of Energy

Dimensional Formula of Energy

The dimensional formula of energy is given by,

M1 L2 T-2

Where,

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

Derivation

Energy = m × c2 . . . . (1)

Where m = mass and c = velocity

Since, velocity (c) = Distance × [Time]-1 = M0 L1 T-1

∴ The dimensional formula of velocity = M0 L1 T-1 . . . . (2)

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

Energy = m × c2

Or, E = [M] × [L1 T-1]2 = M1 L2 T-2.

Therefore, energy is dimensionally represented as M1 L2 T-2.

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