JEE Main 2014 · 11 Apr · Shift 1 · Physics Q8

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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 $\dfrac{\Delta V}V$ . Which of the following statements about $\dfrac{\Delta V}V$ for these three liquids is correct ?

Ethanol > Water > Mercury

Water > Ethanol > Mercury

Mercury > Ethanol > Water

Ethanol > Mercury > Water

Answer and worked solution

Official answer: A

$\dfrac{\Delta V}V=\dfrac PB$ : the smaller the bulk modulus, the larger the compression. With $B$ = 0.9 (ethanol), 2.2 (water) and 25 (mercury): ethanol > water > mercury.

Topics:Hooke's law and elastic moduli

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JEE Main 2014 · 11 Apr · Shift 1, Physics question 8