Concepts Of Physics MCQ Edition [Volume 1]PhysicsFluid Mechanics
Water is kept in a beaker, and a wooden object floats in it. The object is located near one side of the beaker, as shown in the figure. Let P₁ , P₂ , and P₃ denote the pressures at the three bottom points A , B , and C , respectively.
Options
- AP₂ = P₃ P₁
- BP₁ > P₂ > P₃
- CP₁ < P₂ < P₃
- DP₁ = P₂ = P₃
Correct answer
D. P₁ = P₂ = P₃
Step-by-step solution
In a liquid at rest, the pressure is the same at all points on the same horizontal level. If there were a pressure difference between any two points at the same level, it would create a horizontal force, causing the liquid to flow. Since the water is in static equilibrium, no such flow occurs. The floating wooden block displaces some water, causing the overall water level in the beaker to rise uniformly. The pressure at the bottom of the beaker depends only on the atmospheric pressure and the total height of the wa