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Physics - Elasticity Question with Solution | TestHub

PhysicsElasticityMiscellaneousMedium2 minQB

PhysicsMediumsingle choice

The Poisson's ratio of a material is $0.4$ . If a force is applied to a wire of this material, there is a decrease of cross-sectional area by $2%$ . The percentage increase in its length is :

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Answer:

Solution:

Poisson's ratio $σ = \frac{Δ d / d}{Δ ℓ / ℓ}$

$A \propto d^{2} \Rightarrow \frac{Δ A}{A} = 2 \frac{Δ d}{d}$

$\frac{Δ d}{d} = \frac{1}{2} \times 2% = 1%$

$\frac{Δ ℓ}{ℓ} = \frac{1%}{0.4} = 2.5%$

Stream:JEESubject:PhysicsTopic:ElasticitySubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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