Question

The approximated epth of an ocean is 2700m.Thecompressibilityofwateris 45.4 $\times$ 10-11P$a^{-1}$ and density of water is ${10}^{3}kg/m^3$.What fractional compression of water will be obtained at the bottom of the ocean?

• A. 1.4 × 10^-2
• B. 0.8 × 10^-2
• C. 1.0 × 10^-2
• D. 1.2 × 10^-2

Answer 1

The correct option is D

1.2 × 10^-2

Compressibility =$\frac{1}{bulkmodulus}=\frac{\Delta V}{V}\frac{1}{p}$

$\therefore \frac{\Delta V}{V}=p\times compressibility$

= hρg . compressibility

$=2700\times {10}^3\times 10\times 45.4\times {10}^{-11}=1.2\times {10}^{-2}$