NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
There are two identical small holes of the area of cross-section a on the opposite sides of a tank containing a liquid of density ρ . The difference in height between the holes is h . The tank is resting on a smooth horizontal surface. The horizontal force which will have to be applied on the tank to keep it in equilibrium is -
Options
- Ag h ρ a
- B2 g h ρ a
- C2 ρ a g h
- Dρ g h a
Correct answer
C. 2 ρ a g h
Step-by-step solution
Thrust force F = F 1 - F 2 = ρ a v 1 2 – ρ a v 2 2 = ρ a 2 g h 1 - ρ a 2 g h 2 = 2 ρ a g h 1 – h 2 = 2 ρ a g h