Q.

Three different liquids are filled in a U-tube as shown in figure. Their densities are ρ1,ρ2  and ρ3 respectively. From the figure we may conclude that

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a

ρ1>ρ2

b

ρ2>ρ1

c

ρ3=ρ2+ρ12

d

ρ3=2ρ2ρ1

answer is A, C.

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Detailed Solution

At the level of boundary between  ρ2 and ρ3.

Pressure will be equal from both sides. Hence,

ρ1gh+ρ3gh2=ρ2gh;ρ3=2ρ2ρ1

From this expression itself it is clear that

ρ2>ρ1

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Three different liquids are filled in a U-tube as shown in figure. Their densities are ρ1,ρ2  and ρ3 respectively. From the figure we may conclude that