Dimensional Formula of Linear Density

The dimensional formula of Linear Density is given by,

M¹ L^-1 T⁰

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Linear Density (ρ) = Mass × [Length]^-1 . . . (1)

The dimensional formula of mass = [M¹ L⁰ T⁰] . . . . (2)

The dimensional formula of length = [M⁰ L¹ T⁰] . . . . (3)

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

Linear Density = Mass × [Length]^-1

Or, ρ = [M¹ L⁰ T⁰] × [M⁰ L¹ T⁰]^-1 = [M¹ L^-1 T⁰].

Therefore, the linear density is dimensionally represented as [M¹ L^-1 T⁰].

⇒ Check Other Dimensional Formulas:

• Dimensions of Angular Velocity
• Dimensions of Power of Lens
• Dimensions of Area
• Dimensions of Rotational Kinetic Energy
• Dimensions of Gravitational Potential Energy