In Physics, Density represents how tightly matter is packed together. Finding its dimensional formula is one of the foundational steps in Class 11 Units and Measurements.
Formula: Density = Mass / Volume.
Dimensional Formula: [M¹ L⁻³ T⁰].
SI Unit: kg/m³.
Scalar Quantity: Density has magnitude but no direction.
Step 1: The formula for Density is: Density = Mass / Volume
Step 2: Write the dimensions of each fundamental quantity:
Step 3: Substitute them into the formula: Density = [M] / [L³] Density = [M L⁻³]
Final Dimensional Formula: [M¹ L⁻³ T⁰]
Based on the formula (Mass/Volume), the SI unit of density is kg/m³ (kilograms per cubic metre).
The dimensional formula of density is [M L⁻³ T⁰].
Density is Mass divided by Volume. Mass is [M] and Volume is [L³]. Therefore, Density = [M]/[L³] = [M L⁻³].
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