The approximate depth of an ocean is 2700 m . The compressibility of water is 45.4 × 10 - 11 P a - 1 and…

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/m 3. What fractional compression of water will be obtained at the bottom of the ocean ?
  1. 0.8×10-2
  2. 1.0×10-2
  3. 1.2×10-2
  4. 1.4×10-2

Solution

Pressure at the bottom of the ocean
P=ρgd
=103×10×2700
=27×106Pa
∴ Fractional compression = compressibility × pressure
=45.4×10-11Pa-1×27×106Pa
=1.2×10-2 .

Asked in: NEET 2015 (Phase 1)

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