NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
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
Options
- Adirectly proportional to their densities
- Binversely proportional to their densities
- Cdirectly proportional to square of their densities
- Dequal
Correct answer
B. inversely proportional to their densities
Step-by-step solution
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