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JEE Main 20208 JanuaryEvening Shift
Exam
JEE Main
Year
2020
Date
8 January
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2020 · 8 January · Evening Shift · Physics · Mechanical Properties of Fluids

Two liquids of densities ρ _ 1 and ρ _ 2 ( ρ _ 2 = 2 ρ _ 1 ) are...

Two liquids of densities ρ _ 1 and ρ _ 2 ( ρ _ 2 = 2 ρ _ 1 ) are filled up behind a square wall of side 10m as shown in
Two liquids of densities ρ1{ρ}_{1} and ρ2{ρ}_{2}\left({ρ}_{2} = 2{ρ}_{1}\right)arefilledupbehindasquarewallofsideare filled up behind a square wall of side10masshowninfigure.Eachliquidhasaheightofas shown in figure. Each liquid has a height of5m . 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):

Options

  1. A13\dfrac{1}{3}
  2. B23\dfrac{2}{3}
  3. C12\dfrac{1}{2}
  4. D14\dfrac{1}{4}

Correct answer

D. 14\dfrac{1}{4}

Step-by-step solution

Two liquids of densities ρ _ 1 and ρ _ 2 ( ρ _ 2 = 2 ρ _ 1 ) are filled up behind a square wall of side 10m as shown in
F1F2=14\dfrac{{F}_{1}}{{F}_{2}} = \dfrac{1}{4}
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