Question

Ratio of volumetric stress & volumetric strain is given by
[Take $\left(\Delta P\right)$ to be change in pressure, $V$ as initial volume, $\Delta V$ as change in volume].

• A. $-\frac{\Delta V}{V}$
• B. $\Delta P$
• C. $-\frac{V\Delta P}{\Delta V}$
• D. $\frac{\Delta V}{V\Delta P}$

Answer 1

The correct option is C $-\frac{V\Delta P}{\Delta V}$

Volumetric stress = Change in pressure $=\Delta P$
Volumetric strain $=\frac{\Delta V}{V}$
Therefore, $\frac{\text{Volumetric stress}}{\text{Volumetric strain}}=\frac{-\Delta P}{\Delta V/V}=\left(\frac{-V\Delta P}{\Delta V}\right)$