The ratio of hydraulic stress to the corresponding strain is known as,

A solid sphere of radius $r$ made out of a soft material of bulk modulus $K$ is surrounded by a liquid in a cylindrical container. A massless piston of area $a$ floats on the surface of the liquid covering entire cross-section of the cylindrical container. When a mass $m$ is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere $\left(\frac{\mathrm{d}r}{r}\right)$ is,

The approximate depth of an ocean is $2700 \mathrm{m}$. The compressibility of water is $45.4\times {10}^{-11} {\mathrm{Pa}}^{-1}$ and its density is ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$. What fractional compression of water will be obtained at the bottom of the ocean? (Let $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

The Poisson's ratio cannot have the value,