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Q.

The figure represents a U-tube of uniform cross-section filled with two immiscible liquids. One is water with density $ρ_{w}$ and the other liquid is of density $ρ$ . The liquid interface lies $2 cm$ above the base. The relation between $ρ$ and $ρ_{w}$ is

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a

None of these

b

$ρ = ρ_{w}$

c

$ρ = 1.2 ρ_{w}$

d

$ρ = 1.02 ρ_{w}$

answer is A.

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Detailed Solution

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$p_{1} = p_{2} ∴ p_{0} + ρ_{m} gh = p_{0} + ρgh \Rightarrow ρ = ρ_{w}$

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The figure represents a U-tube of uniform cross-section filled with two immiscible liquids. One is water with density ρw and the other liquid is of density ρ. The liquid interface lies 2 cm above the base. The relation between ρ and ρw is