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 $1000\, kg m ^{-3}$ and $\left. g =9.8 \,ms ^{-2} .\right]$
JEE MAIN 2021, Medium
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$P=h \rho g$
$\beta=\frac{ p }{\frac{\Delta V }{ V }}=\frac{2 \times 10^{3} \times 10^{3} \times 9.8}{1.36 \times 10^{-2}}$
$=1.44 \times 10^{9}\, N / m ^{2}$
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