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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When pressure 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
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
kvnmurty:
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12th ....why ?
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