Volume Stress

Q.

A uniform pressure P is exerted on all sides of a solid cube at temperature $t^{\circ }C$. By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? The coefficient of volume expansion of the cube is $\alpha$ and the bulk modulus is $\beta$.

1. $\frac{P\alpha }{\beta }$

2. $\frac{P\beta }{\alpha }$

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

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