Question Detail
Question
The Titanic was found in 1985 lying on the bottom of the North Atlantic at a depth of 3809 m. What is the pressure at this depth? (Density of seawater = 1025 kg/m³, g = 9.8 m/s²)
Correct Answer
Option A is the correct answer.
Detailed Explanation
The pressure at depth h in a fluid is P = P₀ + ρgh. Atmospheric pressure P₀ ≈ 1.01 × 10⁵ Pa. ρgh = 1025 × 9.8 × 3809 = 1025 × 9.8 = 10045, × 3809 = 38,261,405 Pa ≈ 3.83 × 10⁷ Pa. Adding atmospheric pressure gives approximately 3.84 × 10⁷ Pa. Option A is 3.82 × 10⁷ Pa, which is close.
Hint
Use P = P₀ + ρgh for pressure at depth. ρgh gives the gauge pressure.