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Question

A wire made of the material of Young's modulus Y has an stress S applied to it. If Poisson's ratio of the wire is σ, the lateral strain is:

A
σSY
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B
σYS
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C
σY×S
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D
SσY
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Solution

The correct option is A σSY
Longitudinal strain = S/Y ;
Poisson's ratio is given as Lateral strainLongitudinal Strain
Lateral Strain=Poissons ratio×Longitudinal Strain=σSY

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