Question:
The ratio of the stress to the strain within the elastic limit is called
The ratio of the stress to the strain within the elastic limit is called
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Remember that the Modulus of Elasticity ($E$) is a fundamental property used in material science and engineering to describe how much a material will deform under load before it starts to permanently change shape.
Updated On: Jun 3, 2026
- Modulus of Elasticity
- Poisson's ratio
- Plastic limit
- Yield point
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The Correct Option is A
Solution and Explanation
Step 1: Concept
Stress, Strain, and Their Relationship
Step 2: Meaning
Stress is the internal force per unit area within a material. Strain is the measure of deformation under stress. The ratio of stress to strain within the elastic limit is known as the Modulus of Elasticity.
Step 3: Analysis
Stress ($\sigma$) is defined as force per unit area: $\sigma = \frac{F}{A}$. Strain ($\epsilon$) is defined as deformation per unit length: $\epsilon = \frac{\Delta L}{L_0}$, where $\Delta L$ is the change in length and $L_0$ is the original length. Within the elastic limit, stress is directly proportional to strain. This relationship can be expressed as: $\sigma = E\epsilon$, where $E$ is the Modulus of Elasticity. Option A) Modulus of Elasticity correctly describes this ratio within the elastic limit. It quantifies how stiff a material is and relates stress to strain linearly. Option B) Poisson's ratio refers to the ratio of lateral strain to axial strain, not the direct stress-to-strain relationship. Option C) Plastic limit pertains to the point at which a material starts to deform plastically, not the elastic behavior. Option D) Yield point is the stress level at which a material begins to deform permanently, marking the end of elastic behavior.
Step 4: Conclusion
The Modulus of Elasticity accurately describes the ratio of stress to strain within the elastic limit.
Final Answer: (A)
Stress, Strain, and Their Relationship
Step 2: Meaning
Stress is the internal force per unit area within a material. Strain is the measure of deformation under stress. The ratio of stress to strain within the elastic limit is known as the Modulus of Elasticity.
Step 3: Analysis
Stress ($\sigma$) is defined as force per unit area: $\sigma = \frac{F}{A}$. Strain ($\epsilon$) is defined as deformation per unit length: $\epsilon = \frac{\Delta L}{L_0}$, where $\Delta L$ is the change in length and $L_0$ is the original length. Within the elastic limit, stress is directly proportional to strain. This relationship can be expressed as: $\sigma = E\epsilon$, where $E$ is the Modulus of Elasticity. Option A) Modulus of Elasticity correctly describes this ratio within the elastic limit. It quantifies how stiff a material is and relates stress to strain linearly. Option B) Poisson's ratio refers to the ratio of lateral strain to axial strain, not the direct stress-to-strain relationship. Option C) Plastic limit pertains to the point at which a material starts to deform plastically, not the elastic behavior. Option D) Yield point is the stress level at which a material begins to deform permanently, marking the end of elastic behavior.
Step 4: Conclusion
The Modulus of Elasticity accurately describes the ratio of stress to strain within the elastic limit.
Final Answer: (A)
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