Question 138 of 192

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 $10m$ as shown in figure. Each liquid has a height of $5m.$ 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):

A$\dfrac{1}{3}$B$\dfrac{2}{3}$C$\dfrac{1}{2}$D$\dfrac{1}{4}$

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Answer: (D) $\dfrac{1}{4}$

$\dfrac{{F}_{1}}{{F}_{2}}=\dfrac{1}{4}$