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a uniform pressure P is exerted on all sides of a solid cube. it is heated through T K in orderf to bring it back to the value it had before the application of pressure. then what is T ? |
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Answer» essure P (= stress = Force/Area) is applied on the surface of the cube, it is compressed. The compression is DUE to elasticity. Let Y be the YOUNG's modulus of elasticity of the material of the cube.When the cube is HEATED, it EXPANDS due to increase in temperature. Let α be the coefficient of thermal expansion of the material. Let L be the side of the cube. Y = Stress / Strain = P / (ΔL / L) ΔL = compression = P L / Y ΔL = α L T Hence, α L T = P L / Y => T = P / α Y |
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