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# A sample of liquid has an initial volume of $1.5 \;l$. The volume is reduced to $0.2 ml$ . When the pressure increased by $140\;R\;pa$. What is bulk modulus of liquid

$\begin {array} {1 1} (a)\;1.05 \times 10^9\;Pa & \quad (b)\;2.05 \times 10^9\;Pa \\ (c)\;1.05 \times 10^6\;Pa & \quad (d)\;2.05 \times 10^6\;Pa \end {array}$

Bulk modulus $B= -\large\frac{\Delta P}{\Large\frac{\Delta V}{V}}$
$\qquad=-\large\frac{V \Delta P}{\Delta V}$
$\qquad= \large\frac{1.5 \times 140 \times 10^3}{-0.2 \times 10^{-3}}$
$\qquad= 1.05 \times 10^9 \;pa$
Hence a is the correct answer.

edited Feb 18, 2014 by meena.p