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A vessel has cross-section area $A_{2}$ up to height 2h and area $A_{1}$ for further height h. A and B are two points in fluid at the bottom of the vessel as shown. It is filled with liquid of density $ρ$ . Neglect atmospheric pressure.

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Pressure at

A = 3 ρ gh

Pressure at

B = 3 ρ gh

Pressure at A < pressure at B

Force exerted by liquid at bottom of container is greater than weight of liquid

answer is D, A, B.

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Detailed Solution

Pressure at A

= h ρ g

$= (3 h) ρ g$

$= 3 ρ gh$

Pressure at B $= h ρ g$

$= (3 h) ρ g$

$= 3 ρ gh$

$∴$ Pressure at A = Pressure at B

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