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Standard VII

Physics

Bulk Modulus

A cube is com...

Question

A cube is compressed at $0^{\circ} C$ equally from all sides by an external pressure p. By what amount should the temperature be raised to bring it back to the size it had before the external pressure was applied? (Given K is bulk modulus of elasticity of the material of the cube and $α$ is the coefficient of linear expansion)

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Solution

The correct option is B
$k = \frac{p V}{△ v} = \frac{p V}{y △ T} = \frac{p}{3 α T}$
or $T = \frac{p}{3 k α}$

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An external pressure $P$ is applied on a cube at $0^{0} C$ 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 :

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The correct option is B k=pV△ v=pVy△ T=p3α T or T=p3kα

The correct option is B
$k = \frac{p V}{△ v} = \frac{p V}{y △ T} = \frac{p}{3 α T}$
or $T = \frac{p}{3 k α}$