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  • An object is located at 2 km beneath the surface of the water. If the fractional compression is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic st

An object is located at 2 km beneath the surface of the water. If the fractional compression \frac{\Delta V}{V} is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be __________. [Given : density of water is 1000 kgm -3 and g = 9.8 ms -2]
 
Option: 1 2.26 \times 10^{9}\; Nm^{-2}
Option: 2 1.44 \times 10^{7}\; Nm^{-2}
Option: 3 1.96 \times 10^{7}\; Nm^{-2}  
Option: 4 1.44 \times 10^{9}\; Nm^{-2}

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\begin{aligned} &\text { } \mathrm{P}=\mathrm{h} \rho \mathrm{g}\\ \\ &\beta=\frac{\mathrm{p}}{\frac{ - \Delta \mathrm{V}}{\mathrm{V}}}=\frac{2 \times 10^{3} \times 10^{3} \times 9.8}{-(-1.36 \times 10^{-2})}\\ \\ &=1.44 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2} \end{aligned}

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Deependra Verma

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