Question

The approximate length of an ocean is 2700 m. The compressibility of water is 45.4 10^-11 Pa^-1 and density of water is 10³ kg/m³. What fractional compression of water will be obtained at the bottom of the ocean?

(a) 0.8 x 10^-2

(b) 1.0 x 10^-2

(c) 1.2 x 10^-2

(d) 1.4 x 10^-2

Answer 1

Correct option is : (c) 1.2 x 10^-2

Given, d = 2700 m, ρ = 10³ kg/m³

Compressibility = 45.4 x 10^-11 per pascal

The pressure at the bottom of the ocean is given by

p = ρgd

= 10³ x 10 x 2700

= 27 x 10⁶ Pa

So, fractional compressibility x pressure

= 45.4 x 10^-11 x 27 x 10⁶

= 1.2 x 10^-2