The marina Trench is located in the pacific ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the Trench is about `1.1 xx 10^(8) Pa`. A steel ball of initial volume `0.32 m^(3)` is dropped into the ocean and falls to the bottom of the Trench. what is the change in the volume of the ball when it reaches to the bottom? Bulk modulus for steel =`1.6 xx 10^(11) Nm^(-2)`.

Explanation

To find the change in volume of the steel ball when it reaches the bottom of the Mariana Trench, we can use the concept of bulk modulus. The bulk modulus (B) relates the change in pressure (ΔP) to the change in volume (ΔV) and the original volume (V) of the object. The formula is given by:

\[ B = -\frac{ΔP}{\frac{ΔV}{V}} \]

Where:
- \( B \) = Bulk modulus
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