Q 11-08-085JEE MainJEE Main 2021 (26 Feb, Shift 1)Easy
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:
Answer: (B) $\frac{\rho P}{K}$
$K = \dfrac{P}{|\Delta V|/V}$, so $\dfrac{|\Delta V|}{V} = \dfrac{P}{K}$.
Mass is fixed, so $\dfrac{\Delta\rho}{\rho} = \dfrac{|\Delta V|}{V} = \dfrac{P}{K}$, giving $\Delta\rho = \dfrac{\rho P}{K}$.
Solution by Sreeraj P, M.Sc Physics