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Each side of a cube is decreased by 2% when a pressure of $3\times 10^6N/m^2$ is applied.What is bulk modulus of cube.

$\begin{array}{1 1}(A)\;2\times 10^6\\(B)\;5\times 10^7\\(C)\;3\times 10^7\\(D)\;6\times 10^6\end{array} $

1 Answer

$V=a^3$
$\large\frac{\Delta V}{V}=\frac{3\Delta a}{a}$
$\Rightarrow 3\times 2\%$
$\Rightarrow 6\%$
$B=\large\frac{P}{\Delta V/V}$
$\;\;\;=\large\frac{3\times 10^6}{6/10^2}$
$\;\;\;=5\times 10^7N/m^2$
Hence (B) is the correct answer.
answered May 7, 2014 by sreemathi.v
 

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