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].

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