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Mechanical Properties of Solids

JEE Main level, single correct, medium

102 of 118

Question 102 of 118

The bulk moduli of ethanol, mercury and water are given as $0.9,25$ and $2.2$ respectively in units of $10^9 \mathrm{Nm}^{-2}$ . For a given value of pressure, the fractional compression in volume is $\frac{\Delta \mathrm{V}}{\mathrm{V}}$ . Which of the following statements about $\frac{\Delta V}{V}$ for these three liquids is correct ?

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Answer: (A) Ethanol $\gt$ Water $\gt$ Mercury

Compressibility

=\frac{1}{\text { 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 \mathrm{V}}{\mathrm{V}}

Ethanol

\gt

Water

\gt

Mercury

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JEE Main 2025 Apr 2 Shift 1 question paper

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