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 103kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?
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a
1.2 x 10-2
b
1.4 x 10-2
c
0.8 x 10-2
d
1.0 x 10-2
answer is A.
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Detailed Solution
By Hooke's Law,Here, ΔP = Hydro static pressure at a depth 'h' below the free surface of water = ρgh = 103 x 10 x 2700 PaNow by Hooke's Law,