Q.

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 is

P = hρg 

   = 3000 m × 100 kg m-3×10 ms-2

Fractional compression VV is

VV = PB = 3×107 Nm-22.2×109 Nm-2 = 1.36×10-2 = 1.36%

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