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The Poission's ratio ( $σ$ ) should satisfy the relation

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–1 < $σ$ < 0.5

– 0.5 < $σ$ < 1

0.5 < $σ$ < 1

– 1 < $σ$ < – 0.5

answer is A.

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Detailed Solution

The transverse contraction strain to longitudinal extension strain ratio in the direction of the stretching force is known as Poisson's ratio.
The relation −1<σ<0.5 should be satisfied by Poisson's ratio.

Hence the correct answer is −1<σ<0.5.

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