When stress exceeds the elastic limit, the material deforms permanently and does not return to its original shape. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.

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In the elastic region, the relationship between stress and strain is governed by Hooke’s Law. This law states that the stress (σ) applied to a material is directly proportional to the strain (ε) it experiences, provided the material remains within its elastic limit. Mathematically, this can be expressed as:

σ = Eε

Where:
– σ (stress) is the force per unit area applied to the material, measured in pascals (Pa) or other equivalent units.
– ε (strain) is the relative deformation or change in shape/size of the material, which is dimensionless.
– E (Young’s modulus) is a material constant that quantifies the stiffness of the material, measured in pascals (Pa).

Key points about this relationship in the elastic region:
1. **Linearity**: Stress and strain exhibit a linear relationship in the elastic region, which means doubling the stress will double the strain.
2. **Reversibility**: Deformations in this region are reversible. When the applied stress is removed, the material returns to its original shape and size.
3. **Elastic Limit**: The linear relationship holds only up to the elastic limit. Beyond this point, the material may deform plastically and not return to its original state.

This relationship is fundamental in engineering and materials science for designing structures and components, ensuring they operate within the elastic range to avoid permanent deformation.
This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.

For more please visit here:
https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-8/