Depth of sea, h=1km=1000m Relative decrease in volume, ∆V∕V=0.01%=0.0001=10−4 Acceleration due to gravity, g=10m\/s2 Density of sea water, ρ≈103kg\/m3 Step 1. Calculate the pressure at that depth P=ρgh=1000×10×1000=107N\/m2 Step 2. Use the definition of Bulk modulus K K=−∆P∕∆V\/V Here, ∆P=P=107N\/m2, and ∆V∕V=−10−4 K=107∕10−4=1011N\/m2 Final Answer: K=1011N\/m2 Correct Option: D) 10×1010N\/m2
