There are two liquids of densities ρ 1 and ρ 2 ( ρ 2=2ρ 1 ) 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 immiscible):

Question

There are two liquids of densities ρ 1 and ρ 2 ( ρ 2=2ρ 1 ) 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 immiscible): <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-8jzlljjd4sv1t1b4.jpg" /> (A) (1/2) (B) (1/3) (C) (1/4) (D) (2/3)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-8jzlljjd4sv1g6hm.jpg" /> (F1/Er)=(1/4)

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{2}{3}$

$\frac{F _{1}}{E _{r}} = \frac{1}{4}$

21​

31​

41​

32​

Er​F1​​=41​

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{2}{3}$

$\frac{F _{1}}{E _{r}} = \frac{1}{4}$