A) \[-\text{ }43.2\text{ }{{m}^{3}}\]
B) \[-\text{ }43.2\text{ }m{{m}^{3}}\]
C) \[-\text{ }43.2\text{ }c{{m}^{3}}\]
D) \[-\text{ }432\text{ }m{{m}^{3}}\]
Correct Answer: B
Solution :
Bulk modulus \[K=\frac{PV}{\Delta V}\] \[\left( \begin{align} & \text{Given:} \\ & \text{Side}\,\text{of cube = 60}\,\text{cm} \\ & \text{P = 2}\text{.5}\times \text{1}{{\text{0}}^{7}}Pa \\ & K=1.25\times {{10}^{11}} \\ \end{align} \right)\] \[\Delta V=\frac{PV}{K}\] \[\Rightarrow \] \[\Delta V=\frac{2.5\times {{10}^{7}}\times 60\times 60\times 60}{1.25\times {{10}^{11}}}\] \[=-43.2\,m{{m}^{3}}\]
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