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Mechanical Properties Of Fluids

Question
CBSEENPH11020531

The approximate depth of an ocean is 2700 m.The compressibility of water is 45.4 x 10-11 Pa-1 and density of water is 103 kg/m3. What obtained at  the bottom of the ocean?

  • 0.8 x10-2

  • 1.0 x 10-2

  • 1.2 x 10-2

  • 1.4 x 10-2

Solution

C.

1.2 x 10-2

Given d = 2700m
straight rho space equals space 10 cubed space kg divided by straight m cubed
Compressibility =454 x 10-11 per pascal
The pressure at the bottom of ocean is given by
straight p equals ρgd
= 103 x 10 x 2700 = 27 x 106 Pa
 So,fractional compression =compressibilty x pressure
= 45.4 x 10-11 x 27 x 106 = 1.2 x 10-2