Question Detail
Question
Calculate the fractional decrease in volume for water at 5 km 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). So fractional decrease ΔV/V = ΔP/B = (5 × 10⁷)/(2.2 × 10⁹) = 5/220 = 0.0227 ≈ 2.27 × 10⁻².
Hint
ΔV/V = ΔP/B, where B is bulk modulus.