Q: A uniform pressure *p* is exerted on all sides of a solid cube at temperature *t*°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 γ and the bulk modulus is B.

(a) $ \displaystyle \frac{p}{\sqrt2 \gamma\ B} $

(b) $ \displaystyle \frac{p}{2 \gamma\ B} $

(c) $ \displaystyle \frac{2 p}{ \gamma\ B} $

(d) $ \displaystyle \frac{ p}{ \gamma\ B} $

Ans: (d)

Sol: $B = \frac{p}{\Delta V/V} $

$\frac{\Delta V}{V} = \frac{p}{B}$

$ \gamma \Delta T = \frac{p}{B}$