The normal density of a material is $\rho$ and its bulk modulus of elasticity is $K$. The magnitude of increase in density of material, when a pressure $P$ is applied uniformly on all sides, will be
JEE MAIN 2021,AIIMS 2017, Medium
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$\rho=\frac{M}{V}$
$\frac{ d \rho}{\rho}=-\frac{ dV }{ V }$
$K=-\frac{ P }{\frac{ d V }{ V }}$
$-\frac{ d V }{ V }=\frac{ P }{K}$
$\frac{ d \rho}{\rho}=\frac{ P }{ K } \Rightarrow d \rho=\frac{\rho P }{ K}$
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