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Q.

An external pressure p is applied on a cube at 0°C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by pxαK. The value of x is

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answer is 3.

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Detailed Solution

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As we know, Bulk modulus K=ΔPΔVVΔVV=PK
V=V0(1+γΔt)ΔVV0=γΔtPK=γΔtΔt=PγK=P3αKx=3

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