Mechanical Properties of Fluids - Result Question 4

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4. The approximate depth of an ocean is $2700 m$. The compressibility of water is $45.4 \times 10^{-11} Pa^{-1}$ and density of water is $10^{3} kg / m^{3}$. What fractional compression of water will be obtained at the bottom of the ocean?

======= ####4. The approximate depth of an ocean is $2700 m$. The compressibility of water is $45.4 \times 10^{-11} Pa^{-1}$ and density of water is $10^{3} kg / m^{3}$. What fractional compression of water will be obtained at the bottom of the ocean?

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/mechanical-properties-of-fluids/mechanical-properties-of-fluids—result-question-4.md (a) $1.0 \times 10^{-2}$

(b) $1.2 \times 10^{-2}$

(c) $1.4 \times 10^{-2}$

(d) $0.8 \times 10^{-2}$

[2015]

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Answer:

Correct Answer: 4. (b)

Solution:

  1. (b) Compressibility of water,

$K=45.4 \times 10^{-11} Pa^{-1}$

density of water $P=10^{3} kg / m^{3}$

depth of ocean, $h=2700 m$

We have to find $\frac{\Delta V}{V}=$ ?

As we know, compressibility,

$K=\frac{1}{B}=\frac{(\Delta V / V)}{P}(P=\rho gh)$

So, $(\Delta V / V)=K \rho gh$

$=45.4 \times 10^{-11} \times 10^{3} \times 10 \times 2700=1.2258 \times 10^{-2}$