The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4×10-11 Pa-1 and density of water is 103 kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?

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1.2×10-2

1.4×10-2

0.8×10-2

1.0×10-2

answer is A.

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Detailed Solution

Depth of ocean d=2700 m Compressibility of water, K=45.4×10-11 Pa-1ΔVV=? Excess pressure at the bottom, ΔP=ρgd=103×10×2700=27×106 Pa We know, B=ΔP(ΔV/V)ΔVV=ΔPB=K.ΔP∵K=1B=45.4×10-11×27×106=1.2×10-2

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