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].
Hope i helped!
