If two materials, X and Y, are stretched until they break, and material X has a greater Young's modulus than material Y, what does this indicate?

Understand the Problem

The question is asking about the implications of a greater Young's modulus of material X compared to material Y when both are stretched until they break. Specifically, it is asking what this difference in Young's modulus signifies in terms of their elastic behavior and stress-strain response.

Answer

X is stiffer than Y and deforms less under the same stress.

A greater Young's modulus for material X indicates that it is stiffer than material Y. It means material X will deform less under the same amount of stress compared to material Y.

Answer for screen readers

A greater Young's modulus for material X indicates that it is stiffer than material Y. It means material X will deform less under the same amount of stress compared to material Y.

More Information

Young's modulus is used to measure the stiffness of a material in response to tensile or compressive stress. A higher modulus means the material is more resistant to deformation.

Tips

A common mistake is to confuse Young's modulus with elasticity. Higher Young's modulus means more stiffness, not more elasticity.

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