Q.

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,
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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?