Dimensional Formula of Density

The dimensional formula of density is given by,

[M¹ L^-3 T⁰]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Density (ρ) = Mass × Volume^-1 . . . . . (1)

The dimensional formula of volume = [M⁰ L³ T⁰] . . . . (2)

And, the dimensional formula of mass = [M¹ L⁰ T⁰] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Density = Mass × Volume^-1

Or, (ρ) = [M¹ L⁰ T⁰] × [M⁰ L³ T⁰]^-1 = [M¹ L^-3 T⁰]

Therefore, density is dimensionally represented as [M¹ L^-3 T⁰].

⇒ Check Other Dimensional Formulas:

• Dimensions of Coefficient of Friction
• Dimensions of Charge
• Dimensions of Reynolds Number
• Dimensions of Magnetic Flux
• Dimensions of Linear Density