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Steel is more elastic since "elasticity" is measured as ratio of stress to strain. For a given stress (stretching force per unit area) strain is much smaller in steel than in rubber .

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Elasticity is the property of material by virtue of which it regains its original size and shape.
 Eg: -- take a piece of steel wire and a thin rubber, the same diameter of the steel wire and apply the same load on both together. After removal of the load/force, you will observe that the length of the rubber will increase, but the length of the steel wire will not increase. This proves the above explanation.
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