Question Detail
Question
Calculate the fractional decrease in volume for water at 5km depth, where the force per unit area is 5 × 10⁷ N/m². Take the Bulk modulus of water as 2.2 × 10⁹ N/m².
Correct Answer
Option C is the correct answer.
Detailed Explanation
Bulk modulus B = -ΔP / (ΔV/V). Therefore, fractional decrease ΔV/V = ΔP / B = (5 × 10⁷) / (2.2 × 10⁹) = 0.0227 ≈ 2.3%. Note: The problem statement originally had a typo with 10⁻⁷, but the correct value for depth should be 10⁷.
Hint
Use the formula for Bulk Modulus: B = -ΔP / (ΔV/V).