The bulk moduli of ethanol, mercury and water are given as \(0.9, 25\) and \(2 .2\) respectively in units of \(10^9\, Nm^{-2}\) . For a given value of pressure, the fractional compression in volume is \(\frac{{\Delta V}}{V}\). Which of the following statements about \(\frac{{\Delta V}}{V}\) for these three liquids is correct ?

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Answer & Solution

Correct Answer

(A) Ethanol \(>\) Water \(>\) Mercury

Step-by-step Solution

Detailed explanation

\(Compressibility = \frac{1}{{Bulk\,modulus}}\)

As bulk modulus is least for ethanol \((0.9)\) and maximum for mercury \((25)\) among ehtanol, mercury and water. Hence

compression in volume \(\frac{{\Delta V}}{V}\)

\(Ethanol>Water>Mercury\)

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