The average depth of Indian Ocean is about 3000 m. The fractional compression, ∆VV of water at the bottom of the ocean is (Given : Bulk modulus of the water = 2.2 x 109 N m-2 and g =10 ms-2)
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a
0.82%
b
0.91%
c
1.36%
d
1.24%
answer is C.
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Detailed Solution
The pressure exerted by a 3000 m column of water on the bottom layer isP = hρg = 3000 m × 100 kg m-3×10 ms-2Fractional compression ∆VV is∆VV = PB = 3×107 Nm-22.2×109 Nm-2 = 1.36×10-2 = 1.36%