Assertion :The stress-strain relationship in elastic region need not be linear and can be non-linear. Reason: Steel has non linear,profile in elastic zone.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution
The correct option is C Assertion is correct but Reason is incorrect A is the elastic limit.
From Hook's law,we can say that within elastic limit stress is linearly proportional to strain.
stress∝strain
∴ within elastic limit the graph must be linear.
As steel is not a elastic body so, it does not show a linear profile in elastic zone.