Question:
Given below are two statements
Statement I: The stage at which the change of shape of material becomes more rapid than the increase of force is called 'yield point'.
Statement II: After yield point the change of shape is permanent
In light of the above statements, choose the most appropriate answer from the options given below
Given below are two statements
Statement I: The stage at which the change of shape of material becomes more rapid than the increase of force is called 'yield point'.
Statement II: After yield point the change of shape is permanent
In light of the above statements, choose the most appropriate answer from the options given below
Statement I: The stage at which the change of shape of material becomes more rapid than the increase of force is called 'yield point'.
Statement II: After yield point the change of shape is permanent
In light of the above statements, choose the most appropriate answer from the options given below
Show Hint
Visualize the stress-strain curve. The initial straight-line part is the elastic region. The 'yield point' is where the curve flattens out or drops slightly, indicating large strain for a small change in stress. Everything beyond this point is the plastic region, where deformation is permanent.
Updated On: Aug 13, 2026
- Both Statement I and Statement II are correct
- Both Statement I and Statement II are incorrect
- Statement I is correct but Statement II is incorrect
- Statement I is incorrect but Statement II is correct
Show Solution
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
This question assesses knowledge of the stress-strain curve for ductile materials and the concept of yielding. The key terms are 'yield point' and 'permanent deformation' (plastic deformation).
• Elastic Deformation: A temporary change in shape that is recovered when the load is removed.
• Plastic Deformation: A permanent change in shape that remains after the load is removed.
• Yield Point: The point on the stress-strain curve that marks the transition from elastic to plastic behavior.
Step 2: Detailed Explanation:
Analyze Statement I: "The stage at which the change of shape of material becomes more rapid than the increase of force is called 'yield point'."
This statement is correct. On a typical stress-strain diagram for a material like mild steel, there is an elastic region where stress is proportional to strain (Hooke's Law). The 'yield point' is the point where the material starts to deform plastically. At this point (specifically, the lower yield point), the material undergoes a large increase in strain (change of shape) with little or no increase in stress (force). This is exactly what the statement describes. This phenomenon is called yielding.
Analyze Statement II: "After yield point the change of shape is permanent".
This statement is also correct. The yield point marks the end of the elastic region and the beginning of the plastic region. Any deformation that occurs beyond the yield point is plastic deformation, which means it is permanent. If the load is removed after the material has been stressed beyond its yield point, the material will not return to its original shape and dimensions. It will have a permanent set or permanent deformation.
Conclusion:
Both statements accurately describe key characteristics of the yielding phenomenon in materials. Statement I describes the behavior at the yield point, and Statement II describes the consequence of deforming beyond the yield point.
Step 3: Final Answer:
Both Statement I and Statement II are correct.
This question assesses knowledge of the stress-strain curve for ductile materials and the concept of yielding. The key terms are 'yield point' and 'permanent deformation' (plastic deformation).
• Elastic Deformation: A temporary change in shape that is recovered when the load is removed.
• Plastic Deformation: A permanent change in shape that remains after the load is removed.
• Yield Point: The point on the stress-strain curve that marks the transition from elastic to plastic behavior.
Step 2: Detailed Explanation:
Analyze Statement I: "The stage at which the change of shape of material becomes more rapid than the increase of force is called 'yield point'."
This statement is correct. On a typical stress-strain diagram for a material like mild steel, there is an elastic region where stress is proportional to strain (Hooke's Law). The 'yield point' is the point where the material starts to deform plastically. At this point (specifically, the lower yield point), the material undergoes a large increase in strain (change of shape) with little or no increase in stress (force). This is exactly what the statement describes. This phenomenon is called yielding.
Analyze Statement II: "After yield point the change of shape is permanent".
This statement is also correct. The yield point marks the end of the elastic region and the beginning of the plastic region. Any deformation that occurs beyond the yield point is plastic deformation, which means it is permanent. If the load is removed after the material has been stressed beyond its yield point, the material will not return to its original shape and dimensions. It will have a permanent set or permanent deformation.
Conclusion:
Both statements accurately describe key characteristics of the yielding phenomenon in materials. Statement I describes the behavior at the yield point, and Statement II describes the consequence of deforming beyond the yield point.
Step 3: Final Answer:
Both Statement I and Statement II are correct.
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