Physics - Fluid Question with Solution | TestHub

Compressibility of water, $\mathrm{K}=45.4\times 10^{-11}{\mathrm{Pa}}^{-1}$ density of water $\mathrm{P}=10^3\mathrm{kg}/{\mathrm{m}}^3$ depth of ocean, $\mathrm{h}=2700\mathrm{m}$ We have to find $\frac{\Delta \mathrm{V}}{\mathrm{V}}=?$ As we know, compressibility, $\mathrm{K}=\frac{1}{\mathrm{B}}=\frac{(\Delta \mathrm{V}/\mathrm{V})}{\mathrm{P}}(\mathrm{P}=\mathrm{Pgh})$ So, $(\Delta \mathrm{V}/\mathrm{V})=\mathrm{KPgh}$ $=45.4\times 10^{-11}\times 10^3\times 10\times 2700$ $=1.2258\times 10^{-2}$