Relative density = Density of substance ÷ Density of water
Put in the dimensions of each part: [ML⁻³] ÷ [ML⁻³] = [M⁰ L⁰ T⁰].
The SI unit of relative density is no unit.
These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:
Can you get today's formula in one try?Play MLT, the free daily dimensional formula game| Quantity | Formula |
|---|---|
| Pressure | [M L−1 T−2] |
| Density | [M L−3] |
| Surface tension | [M T−2] |
| Coefficient of viscosity | [M L−1 T−1] |
| Kinematic viscosity | [L2 T−1] |
| Thrust | [M L T−2] |
| Velocity gradient | [T−1] |
| Rate of flow | [L3 T−1] |
| Pressure gradient | [M L−2 T−2] |