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) \[\frac{\Delta V}{V}\propto {{B}^{-2}}\]
Correct Answer: B
Solution :
When strain is small, the ratio of the normal stress to the volume strain is called the bulk modulus of the material of the body. \[B=\frac{normal\,\,stress}{volume\,\,strain}\] \[B=-\frac{\Delta P}{\Delta V/V}\] \[B\propto \frac{1}{\frac{\Delta V}{V}}\] \[\Rightarrow \,\,\,\,\,\,\frac{\Delta V\,}{V}\propto \frac{1}{B}\]
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