Dimensional formula of poisson's ratio

Poisson's ratio
[M0 L0 T0]
Written in full: [M⁰ L⁰ T⁰ A⁰ K⁰]

How to derive it

Poisson's ratio = Lateral strain ÷ Longitudinal strain

Put in the dimensions of each part: [M⁰L⁰T⁰] ÷ [M⁰L⁰T⁰] = [M⁰ L⁰ T⁰].

mass (M)
0
length (L)
0
time (T)
0
current (A)
0
temperature (K)
0

SI unit

The SI unit of poisson's ratio is no unit.

Same dimensions as poisson's ratio

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Elasticity

QuantityFormula
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]