Poisson's ratio = Lateral strain ÷ Longitudinal strain
Put in the dimensions of each part: [M⁰L⁰T⁰] ÷ [M⁰L⁰T⁰] = [M⁰ L⁰ T⁰].
The SI unit of poisson's ratio 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 |
|---|---|
| Young's modulus | [M L−1 T−2] |
| Bulk modulus | [M L−1 T−2] |
| Compressibility | [M−1 L T2] |
| Stress | [M L−1 T−2] |
| Modulus of rigidity | [M L−1 T−2] |