Question

If the fractional compression of water at the bottom of an ocean is \(1.5\times10^{-2}\), then the depth of the ocean is \[ \left( B=2.2\times10^9\,\mathrm{N\,m^{-2}}, \; g=10\,\mathrm{m\,s^{-2}} \right) \]

• A. \(3.3\,\mathrm{km}\)
• B. \(1.7\,\mathrm{km}\)
• C. \(1.1\,\mathrm{km}\)
• D. \(2.4\,\mathrm{km}\)

Hint:

Useful relations: \[ \boxed{ B=\frac{\Delta P}{\Delta V/V} } \] and \[ \boxed{ \Delta P=\rho gh. } \]

Answer 1

The Correct Option is A