Dimension of mass density is

Question

Question

This question was previously asked in

Delhi Police Head Constable (AWO/TPO) Official Paper (Held On : 27 Oct 2022 Shift 2)

Answer 1

The correct answer is [M L^-3 T⁰].

Key Points

Mass density is defined as mass per unit volume.
The formula for mass density (ρ) is ρ = mass/volume.
In terms of dimensions, mass (M) has the dimension [M], and volume (V) has the dimension [L³].
Therefore, the dimension of mass density (ρ) is [M][L^-3][T⁰], combining these gives [M L^-3 T⁰].

Additional Information

Mass Density:
- Mass density is also known as density or volumetric mass density.
- It is a measure of how much mass is contained in a given unit volume.
SI Unit of Mass Density:
- The SI unit of mass density is kilograms per cubic meter (kg/m³).
Relation to Other Properties:
- Mass density is an intensive property, meaning it does not depend on the amount of substance.
Applications:
- Mass density is crucial in fields such as material science, fluid dynamics, and engineering.