An external pressure $\mathrm{P}$ is applied on a cube at $0^{\circ} \mathrm{C}$ so that it is equally compressed from all sides. $\mathrm{K}$ 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:

Question:

An external pressure $\mathrm{P}$ is applied on a cube at $0^{\circ} \mathrm{C}$ so that it is equally compressed from all sides. $\mathrm{K}$ 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:

1. $\frac{3 \alpha}{P K}$

2. $3 P K \alpha$

3. $\frac{P}{3 \alpha K}$

4. $\frac{P}{\alpha K}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Termal Properties of Matter chapter.

JEE Main Previous Year 2017

Correct Option: 3

Solution: