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An object is located at 2 km beneath the surface of the water. If the fractional compression ΔV/V is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be ____. [Given: density of water is 1000 kg m⁻³ and g = 9.8 m s⁻²]
- 1.96 × 10⁷ N m⁻²
- 1.44 × 10⁷ N m⁻²
- 2.26 × 10⁹ N m⁻²
- 1.44 × 10⁹ N m⁻²
Correct answer: 1.44 × 10⁹ N m⁻²
Solution
The ratio of hydraulic stress to hydraulic strain is calculated using the formula for bulk modulus, which relates these two quantities. Given the fractional compression and the density of water, the calculated value aligns with the bulk modulus of water under the specified conditions, confirming that option D is correct.
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