Dimensional Formula of Relative Density
The dimensional formula of Relative Density is given by,
[M0 L0 T0]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Relative Density = Density of substance × [Density of water]-1 . . . . . (1)
The density of substance = Density of water = Mass × [Volume]-1
∴ The dimensional formula of density = [M1 L3] . . . . (2)
On substituting equation (2) in equation (1) we get,
Relative Density = Density of substance × [Density of water]-1
Or, R.D = [M1 L3] × [M1 L3]-1 = [M0 L0 T0].
Therefore, the relative density of a substance is dimensionally represented as [M0 L0 T0].
