Two chemically non-reactive liquids are placed in a U-shaped tube as shown in the figure. The height of any liquid above a common reference line is

Question

Two chemically non-reactive liquids are placed in a U-shaped tube as shown in the figure. The height of any liquid above a common reference line is, directly proportional to their densities, inversely proportional to their densities, directly proportional to square of their densities, equal

MARKS App · Accepted Answer

The pressure at the common reference must be the same, for both the liquids. Since both tubes are open to the atmosphere, we must have h 1 ρ 1 g = h 2 ρ 2 g ⇒ h 1 ρ 1 = h 2 ρ 2 ⇒ h ρ = c o n s t a n t ⇒ h ∝ 1 ρ

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