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NEET 2015 (AIPMT, Cancelled Paper) · Density, Compressibility & Pascal's Law

Density, Compressibility & Pascal's Law question from NEET 2015 (AIPMT, Cancelled Paper)

Q21NEET 2015 · AIPMT · CANCELLED PAPERMedium

Density, Compressibility & Pascal's Law

The approximate depth of an ocean is 2700 m. The compressiblity of water is 45.4 ×\times 10−-11 Pa−1{}^{-1} and density of water is 103 kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?

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Answer: (a)

  1. Pressure at the bottom (gauge): P=ρgh=103×9.8×2700=2.65×107 PaP = \rho g h = 10^3\times9.8\times2700 = 2.65\times10^7\text{ Pa}.
  2. Fractional compression =kP=45.4×10−11×2.65×107= kP = 45.4\times10^{-11}\times2.65\times10^7
  3. ΔVV≈1.2×10−2\dfrac{\Delta V}{V} \approx 1.2\times10^{-2}
  4. So the answer is (a).
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