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Calculate change in volume percentage if we apply a pressure of 50atm on a material of Bulk modulus $2\times 10^{11}N/m^2$.

$\begin{array}{1 1}(A)\;5\times 10^{-4}\\(B)\;10\times 10^{-4}\\(C)\;25\times 10^{-4}\\(D)\;50\times 10^{-4}\end{array} $

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As $B=\large\frac{P}{\Delta V/V}$
$\large\frac{\Delta V}{V}=\frac{P}{B}$
$\Rightarrow \large\frac{50\times 10^5}{2\times 10^{11}}$
$\Rightarrow 25\times 10^{-6}$
$\Rightarrow 25\times 10^{-4}$%
Hence (C) is the correct answer.
answered May 7, 2014 by sreemathi.v

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