Physics · MECHANICAL PROPERTIES OF SOLIDS

At an ocean trench of depth \( h \), the density of sea water at the surface is \( 1.00 \times 10^3\text{ kg m}^{-3} \). If the bulk modulus of water is \( 2.0 \times 10^9\text{ N m}^{-2} \) and the fractional compression \( \Delta V / V \) at the bottom is found to be \( 2.0\% \), the depth \( h \) of the trench (taking \( g = 10\text{ m s}^{-2} \) and assuming density variation is negligible for calculating hydrostatic pressure) is:

1. A
   \( 1000\text{ m} \)
2. B
   \( 2000\text{ m} \)
3. C
   \( 3000\text{ m} \)
4. D
   \( 4000\text{ m} \)