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Question
Assertion (A): A thick and a thin metallic rod of same material are heated through the same rise of temperature then thermal stress in both the rods is same.
Reason (R): Thermal stress is independent of area of cross section.
Assertion (A): A thick and a thin metallic rod of same material are heated through the same rise of temperature then thermal stress in both the rods is same.
Reason (R): Thermal stress is independent of area of cross section.
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Solution
The correct option is C A and R are correct and R is correct explanation for A
Thermal stress is defined as :
f=α∗Δt∗E where α= thermal coefficient of the material, Δt= change of temperature and E=elastic modulus of the material. So we can see thermal stress is independent of area of cross section. So the stress will be same for both rod given here.
Thermal stress is defined as :
f=α∗Δt∗E where α= thermal coefficient of the material, Δt= change of temperature and E=elastic modulus of the material. So we can see thermal stress is independent of area of cross section. So the stress will be same for both rod given here.
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