The correct option is C 1.2×10−2
Depth of ocean h=2700 m
Compressibility of water, z=45.4×10−11 Pa−1
Density of water, ρ=103 kg/m3
Compressibility is defined as,
z=1Bulk modulus
⇒z=1−ΔpΔVV
⇒ΔVV=−zΔp
⇒ΔVV=−zρgh
[Δp=ρgh, pressure difference due to depth of water column]
⇒ΔVV=−45.4×10−11×1000×10×2700
⇒ΔVV=−1.2×10−2
Here, −ve sign shows compression or reduction in volume of water.
ΔVV denotes fractional change in volume.
⇒Fractional compression of water will be 1.2×10−2