A) \[\text{9}.\text{8}\times \text{1}{{0}^{\text{1}0}}\text{ N}/{{\text{m}}^{\text{2}}}\]
B) \[\text{1}0.\text{2}\times \text{l}{{0}^{\text{1}0}}\text{ N}/{{\text{m}}^{\text{2}}}\]
C) \[0.\text{98}\times \text{1}{{0}^{\text{1}0}}\text{ N}/{{\text{m}}^{\text{2}}}\]
D) \[\text{8}.\text{4}\times \text{l}{{0}^{\text{1}0}}\text{ N}/{{\text{m}}^{\text{2}}}\]
Correct Answer: A
Solution :
Bulk modulus \[K=\frac{\Delta p}{\frac{-\Delta V}{V}}\] \[v=\frac{\Delta \,V}{V}=\frac{0.01}{100}={{10}^{-4}}\] \[\Delta p=\] pressure of water \[=h\rho g\] \[={{10}^{3}}\times 1\times {{10}^{3}}\times 9.8\] \[\Delta \,p=9.8\times {{10}^{6}}\] \[K=\frac{9.8\times {{10}^{6}}}{{{10}^{-4}}}\] \[=9.8\times {{10}^{10}}N/{{m}^{2}}\]
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