Dimensional Formula of Linear Density
The dimensional formula of Linear Density is given by,
M1 L-1 T0
- M = Mass
- L = Length
- T = Time
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].