Velocity gradient = Change in velocity ÷ Distance
Put in the dimensions of each part: [LT⁻¹] ÷ [L] = [T⁻¹].
The SI unit of velocity gradient is s⁻¹.
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] |
| Relative density | [M0 L0 T0] |
| Rate of flow | [L3 T−1] |
| Pressure gradient | [M L−2 T−2] |