Vessel shown in the figure has two sections of areas of cross section A1 and A2- A liquid of density - fills both sections up to a height h in each- Neglect atmospheirc pressure

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Byju's Answer

Standard XII

Physics

Pascal's Law

Vessel shown ...

Question

Vessel shown in the figure has two sections of areas of cross section $A_{1}$ and $A_{2}$ . A liquid of density $ρ$ fills both sections up to a height $h$ in each. Neglect atmospheirc pressure

The pressure at the base of the vessel is

2 h ρ g

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The force exerted by the liquid on the base is

2 h ρ A_{2} g

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The weight of the liquid is less thatn

2 h g ρ A_{2}

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Walls of the vessel at the level

x

exert a downward force

h g ρ (A_{2} - A_{1})

on the liquid.

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Solution

The correct option is D Walls of the vessel at the level $x$ exert a downward force $h g ρ (A_{2} - A_{1})$ on the liquid.
$\begin{matrix} p r e s s u r e a t t h e b o t t o m = ρ g Δ H = 2 ρ g h F o r c e a t b o t t o m = 2 ρ g h \times A_{2} w e i g h t o f l i q u i d i s l e s s t h a n 2 ρ g h \times A_{2} Δ F = ρ g h A_{2} - ρ g h A_{1} = ρ g h (A_{0} - A_{1}) . \end{matrix}$
Hence, the option $D$ is the correct answer.

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Similar questions

The vessel shown in the figure has two sections of areas of cross-section $A_{1}$ and $A_{2}$ . A liquid of density p fills both the sections, up to a height h in each .

Neglect atmospheric pressure.

1) The pressure by the liquid on the base of the vessel is 2h pg

2) The force exerted by the liquid on the base of the vessel is 2h pg $A_{2}$

3) The weight of the liquid is < 2h pg $A_{2}$

4) The walls of the vessel at the level X exert a downward force hpg $(A_{2} - A_{1})$ on the liquid

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(c) the downward force exerted by the walls of the vessel at the level

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Vessel shown in the figure has two sections of areas of cross section A1 and A2. A liquid of density ρ fills both sections up to a height h in each. Neglect atmospheirc pressure

The correct option is D Walls of the vessel at the level x exert a downward force hgρ(A2−A1) on the liquid.pressureatthebottom=ρgΔH=2ρghForceatbottom=2ρgh×A2weightofliquidislessthan2ρgh×A2ΔF=ρghA2−ρghA1=ρgh(A0−A1).Hence, the option D is the correct answer.

Vessel shown in the figure has two sections of areas of cross section $A_{1}$ and $A_{2}$ . A liquid of density $ρ$ fills both sections up to a height $h$ in each. Neglect atmospheirc pressure