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  4. Two liquids of densities ρ1 and ρ2(ρ2=2ρ1) are filled up behind a square wall of side 10 m as shown in figure. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on upper part MN to that at the lower part NO is (Assume that the liquids are not mixing):

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Q. Two liquids of densities $\rho_{1}$ and $\rho_{2}\left(\rho_{2}=2\rho_{1}\right)$ are filled up behind a square wall of side $10\, m$ as shown in figure. Each liquid has a height of $5\, m$. The ratio of the forces due to these liquids exerted on upper part $MN$ to that at the lower part $NO$ is (Assume that the liquids are not mixing):Physics Question Image

JEE MainJEE Main 2020Mechanical Properties of Fluids

Solution:

$F_{1}=\frac{\rho gh}{2}\times A$
$F_{2}\left(\rho gh+\frac{2\rho gh}{2}\right)A$
$\frac{F_{1}}{F_{2}}=\frac{1}{4}$

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