AIIMS 2018 Physics Stress-Strain Curve Assertion Reason Question
Assertion: The stress-strain graphs are shown in the figure for two materials A and B are shown in figure. Young’s modulus of A is greater than that of B. Reason: The Young’s modulus for small strain is, Y = stress/strain = slope of linear portion of graph; and slope of A is less than slope that of B.
If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
Option C is correct because the assertion states that Young’s modulus of material A is greater than that of B, which can be true if A has a steeper slope in the linear portion of the stress-strain graph. However, the reason incorrectly claims that the slope of A is less than that of B, which contradicts the assertion. Therefore, while the assertion may be true, the reason is false.
Options A and B are incorrect because they rely on the reason being a correct explanation of the assertion. Option D is also incorrect as it dismisses the possibility of the assertion being true. Understanding that Young's modulus (Y) is defined as the ratio of stress (σ) to strain (ε) in the linear region of the stress-strain curve is crucial for interpreting these relationships accurately.
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