question_answer

The bulk moduli of ethanol, mercury and water are given as 0.9, 25 and 2.2 respectively in units of \[{{10}^{9}}N{{m}^{-2}}.\]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?                                                                                                                                            [JEE ONLINE 11-04-2014]

A)  Ethanol > Water > Mercury

B)  Water > Ethanol > Mercury

C)  Mercury > Ethanol > Water

D)  Ethanol > Mercury > Water

Correct Answer: A

Solution :

[a] Compressibility

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

Hence compression in volume

Ethanol > Water > Mercury