An external pressure P is applied on a cube at 0oC 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: (a) (P)/(3α K) (b) (P)/(α K) (c) (3α)/(PK) (d) 3PK α

Answer: (a). Compression: (Δ V)/(V) = P/K. Heating must give the same (Δ V)/(V) = 3αΔ T. Δ T = (P)/(3α K), answer (a).

An external pressure P is applied on a cube at 0oC so that it is… | JEE Main 2017

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Thermometry & Thermal Expansion

An external pressure P is applied on a cube at 0oC so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and $\alpha$ 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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Answer: (a)

Compression: $\dfrac{\Delta V}{V} = \dfrac{P}{K}$ .
Heating must give the same $\dfrac{\Delta V}{V} = 3\alpha\Delta T$ .
$\Delta T = \dfrac{P}{3\alpha K}$ , answer (a).

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