1Which of these has the same dimensions as relative density?
Relative density and Reynolds number both have the dimensions [M⁰ L⁰ T⁰].
MechanicsClass 11, Mechanical Properties of Fluids
Dimensional formula of Relative density
[M0 L0 T0]
The density of a substance divided by the density of water, so it is a pure number.
How to get the dimensional formula of relative density
Quantities with the dimensions [M⁰ L⁰ T⁰]
- Angle
- Solid angle
- Coefficient of friction
- Coefficient of restitution
- Strain
- Poisson's ratio
- Reynolds number
- Emissivity
- Ratio of specific heats
- Sound level
- Relative permittivity
- Magnetic susceptibility
- Relative permeability
- Power factor
- Quality factor
- Refractive index
- Magnification
Equal dimensions do not make them the same quantity. Compare relative density with the others in the full grid.
Three questions on relative density
2Which of these has no dimensions at all?
Relative density is a ratio, so every power in its dimensional formula is zero.
3Which one has different dimensions from the others?
Density is [M L⁻³]. The other three are all [M⁰ L⁰ T⁰].
Relative density: quick answers
What is the dimensional formula of relative density?
The dimensional formula of relative density is [M⁰ L⁰ T⁰]. It comes from relative density = density / density.
What is the SI unit of relative density?
Relative density has no unit, because it is a pure number.
Is relative density dimensionless?
Yes. Relative density is a ratio of like quantities, so every power in its dimensional formula is zero: [M⁰ L⁰ T⁰].