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# Poisson’s Ratio is the ratio of lateral strain to longitudinal strain is a constant for a material body …

Poisson’s Ratio is the ratio of lateral strain to longitudinal strain is a constant for a material body. It is denoted by Greek Letter σ (sigma). If α and β be the longitudinal and lateral strains respectively, then the Poisson’s Ratio,
σ = β/α
If a wire (rod or tube) of length l and diameter d is elongated om applying a stretching force by an amount Δl and its diameter is decreased by amount Δd, then
longitudinal strain = Δl/l
lateral strain = Δd/d
∴ Poisson’s Ratio, σ = Δd / d/δl / l = l Δd/d Δl
Since, Poisson’s Ratio is a ratio of two strains, it is dimensionless quantity and is purely a number. The value of Poisson’s Ratio depends only upon the nature of the material and for most of the substances it lies between 0.2 and 0.4. When a body under tension suffers no change in volume, i.e., the body is perfectly incompressible, the value of Poisson’s Ratio is greatest, i.e., 0.5.

Hinglish Excerpt Poisson’s Ratio is the ratio of lateral strain to longitudinal strain is a constant for a material body ...

AskedJanuary 28, 2022 237 views

Tags: Poisson’s Ratio

Subjects: Physics

Exams: JEENEET

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