Q. For a constant hydraulic stress on an object, the fractional change in the object’s volume $\left( \frac{\mathrm{\Delta}V}{V} \right)$ and its bulk modulus $(B)$ are related as
A) $\frac{\mathrm{\Delta}V}{V} \propto B$
B) $\frac{\mathrm{\Delta}V}{V} \propto \frac{1}{B}$
C) $\frac{\mathrm{\Delta}V}{V} \propto B^{2}$
D) $\frac{\mathrm{\Delta}V}{V} \propto B^{- 2}$
Explanation
(b) $B = \frac{\mathrm{\Delta}P}{\mathrm{\Delta}V/V} \Rightarrow \frac{1}{B} \propto \frac{\mathrm{\Delta}V}{V}\ \ \ \ \lbrack\mathrm{\Delta}p =$ constant]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.