Dimensional Formula of Energy Density
The dimensional formula of energy density is given by,
[M1 L-1 T-2]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Energy Density = Energy × [Volume]-1 . . . (1)
Since, Energy = Force × d = m × a × d
Therefore, the dimensions of energy = [M1 L2 T-2] . . . (2)
And, the dimensional formula of volume = [M0 L3 T0] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Energy Density = Energy × [Volume]-1
= [M1 L2 T-2] × [M0 L3 T0]-1 = [M1 L-1 T-2].
Therefore, the energy density is dimensionally represented as [M1 L-1 T-2].
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