# Dimensions of Relative Density

## 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].