Question

write down the dimension of density​

Answer 1

Explanation:

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Dimensional Formula of Density

The dimensional formula of density is given by,

[M1 L-3 T0]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

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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]