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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 103 kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?

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a

0.8 × 10-2

b

1.0 × 10-2

c

1.2 ×10-2

d

1.4×10-2

answer is C.

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Detailed Solution

Bulk modulus |B| = ∆p(∆VV)B = 1Compressibility (K)1K = hρg(∆VV)(∆VV) = (hρg)K⇒ ∆VV= 2.7×103×103×10×45.4×10-11 = 1.23 × 10-2

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