Question

The average depth of Indian ocean is about $3000\, m$. The fractional compression, $\frac{\Delta V}{V}$ of water at the bottom of the ocean (given that the bulk modulus of the water $=2.2\times {{10}^{2}}N{{m}^{-2}}$ and $g=10m{{s}^{-2}}$ ) is

• A. 0.0082
• B. 0.0091
• C. 0.0136
• D. 0.0124

Answer 1

Answer: (C)

0.0136

Answer 2

$B=\frac{p}{\Delta V/V}$ $\frac{\Delta V}{V}=\frac{p}{B}=\frac{\rho gh}{B}=1.36$