AIPMT | 2015Basic Maths and Units and DimensionsHard

Question

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 ?

Options

A.1.0 × 10-2
B.1.2 × 10-2
C.1.4 × 10-2
D.0.8 × 10-2

Solution

As we know

So
Now P = ρgh & compressibility ′K′ =
So = ρgh (K)
= 103 × 9.8 × 2700 × 45.4 × 10-11
= 1.201 × 10-2
Hence option (2)

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