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 ?
AEthanol $>$ Water $>$ Mercury
BWater $>$ Ethanol $>$ Mercury
CMercury $>$ Ethanol $>$ Water
DEthanol $>$ Mercury $>$ Water
JEE MAIN 2014, Medium
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AEthanol $>$ Water $>$ Mercury
a $Compressibility = \frac{1}{{Bulk\,modulus}}$
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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