# 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 ?

1
by namku

2015-04-23T14:22:29+05:30

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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

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12th ....why ?