Q. A cube is compressed at $0℃\ $ equally from all sides by an external pressure$\ p$. By what amount should be temperature be raise to bring to 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 $\alpha\ $is the coefficient of linear expansion.)
A) $\frac{p}{K\alpha}$
B) $\frac{p}{3K\alpha}$
C) $\frac{3\pi\alpha}{p}$
D) $\frac{K}{3p}$
Explanation
(b) $K = \frac{pV}{\mathrm{\Delta}V} = \frac{pV}{\gamma\mathrm{\Delta}T} = \frac{p}{3\alpha T}\ \ \ or\ T = \frac{p}{3K\alpha}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.