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  4. A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by 0.01 %. The pressure applied on the liquid is

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Q. A liquid of bulk modulus $k$ is compressed by applying an external pressure such that its density increases by $0.01\%$. The pressure applied on the liquid is

WBJEEWBJEE 2017Mechanical Properties of Solids

Solution:

$k = \frac{P}{\Delta v/v } \Rightarrow \frac{P}{k} = \frac{\Delta V}{V} = \frac{\Delta\rho}{\rho}$
$\Rightarrow \,P = \frac{k\Delta\rho}{\rho} = \frac{k}{1000}$