The fractional compression $\left(\frac{\Delta \mathrm{V}}{\mathrm{V}}\right)$ of water at the depth of 2.5 km below the sea level is ______ $\%$. Given, the Bulk modulus of water $=2 \times 10^9 \mathrm{~N} \mathrm{~m}^{-2}$, density of water $=10^3$ $\mathrm{kg} \mathrm{m}^{-3}$,…

Question

The fractional compression $\left(\frac{\Delta \mathrm{V}}{\mathrm{V}}\right)$ of water at the depth of 2.5 km below the sea level is ______ $\%$. Given, the Bulk modulus of water $=2 \times 10^9 \mathrm{~N} \mathrm{~m}^{-2}$, density of water $=10^3$ $\mathrm{kg} \mathrm{m}^{-3}$, acceleration due to gravity $=\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}$.

Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{B}=\frac{ho \mathrm{gh}}{\left(\frac{\Delta \mathrm{v}}{\mathrm{v}}ight)} \ & \frac{\Delta \mathrm{v}}{\mathrm{v}} 	imes 100=\frac{ho \mathrm{gh}}{\mathrm{B}} 	imes 100 \ & \frac{1000 	imes 10 	imes 2.5 	imes 10^3}{2 	imes 10^9} 	imes 100 \% \ & =1.25 \%\end{aligned}$

The fractional compression \(\left(\frac{\Delta \mathrm{V}}{\mathrm{V}}\right)\) of water at the depth of 2…

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