Physics Elasticity Question 27
Question: For a constant hydraulic stress on an object, the fractional change in the object’s volume$ \left( \frac{\Delta V}{V} \right) $ and its bulk modulusare related as
Options:
A) $ \frac{\Delta V}{V}\propto B $
B) $ \frac{\Delta V}{V}\propto \frac{1}{B} $
C) $ \frac{\Delta V}{V}\propto B^{2} $
D) $ \frac{\Delta v}{v}\propto {{B}^{-2}} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ B=\frac{\Delta p}{\Delta V/V} $
Therefore $ \frac{1}{B}\propto \frac{\Delta V}{V} $
$ [\Delta p= $ constant]