Question

Derive the dimension of Density

Answer 1

Explanation:

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].

Answer 2

Explanation:

density = mass/ volume

density = mL3-