Two immiscible liquids are poured in a U-tube having densities $ρ_{1}$ and $ρ_{2}$ . The ratio of height of the liquids above their interface $(\frac{h _{1}}{h _{2}})$ is :

Question

Two immiscible liquids are poured in a U-tube having densities ρ 1 ​ and ρ 2 ​ . The ratio of height of the liquids above their interface ( h 2 ​ h 1 ​ ​ ) is :

TestHub · Accepted Answer

At the interface, pressures in both limbs are equal.
$P_{0} + ρ_{1} g h_{1} = P_{0} + ρ_{2} g h_{2}$
$ρ_{1} h_{1} = ρ_{2} h_{2}$
$\frac{h _{1}}{h _{2}} = \frac{ρ _{2}}{ρ _{1}}$
The heights vary inversely with density. Option B.

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