Coefficient of friction = Friction force ÷ Normal reaction
Put in the dimensions of each part: [MLT⁻²] ÷ [MLT⁻²] = [M⁰ L⁰ T⁰].
The SI unit of coefficient of friction 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 |
|---|---|
| Force | [M L T−2] |
| Momentum | [M L T−1] |
| Impulse | [M L T−1] |
| Weight | [M L T−2] |