A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y . When this rod is heated by temperature T and simultaneously subjected to a net longutudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:

Question

A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y . When this rod is heated by temperature T and simultaneously subjected to a net longutudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:, F / 3 π r 2 Y T, 9 F / π r 2 Y T, 6 F / π r 2 Y T, 3 F / ( π r 2 Y T )

MARKS App · Accepted Answer

Stress = F A Y α T = F A α = F A Y T γ = 3 α = 3 F A Y T γ = 3 F π r 2 Y T

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