Question

The average depth of Indian ocean is about 3000m calculate the fractional compression Delta v upon vof water at the bottom of the ocean given that the bulk modulus of water is 2.2into 10to the power 9 NMsqare take g equal to 10ms

Answer 1

We know, P = -B ΔV/V where, B= Bulk modulus P = Pressure Pressure at bottom of the ocean P = P0 + pgh Where, Po = Atmospheric pressure p= Density of water h = Depth of the ocean P = 105 + 1000 x 10 x 3000 = 105 + 3 x 107 = 3.01 x 107 N/m2 Now, P = -B ΔV/V ΔV/V = -P/B = 3.01 x 107 /2.2 x 109 = 6.61 x 10-2