Liquids exert equal pressure at the same depth.
Explanation
This question illustrates the fundamental properties of hydrostatic pressure. In a static fluid, pressure is determined by the depth below the free surface, the density of the liquid, and the acceleration due to gravity ($P = h\rho g$).
Detailed Analysis:
- Observation: The problem states that water jets emerging from holes at the same height (same depth) travel the same horizontal distance.
- Velocity of Efflux: The horizontal distance covered by a jet depends on the horizontal velocity with which the liquid exits the hole (velocity of efflux). Since the distances are equal, the velocities of efflux must be equal.
- Pressure Relation: The velocity of efflux is driven by the internal pressure of the liquid at that depth (governed by Torricelli’s Law). Equal velocity implies that the driving pressure is identical at all the holes.
- Conclusion: Since the holes are at the same level but facing different directions (implied by the container geometry), the observation proves that liquid pressure is the same at all points at the same depth.
Key Takeaway:
Liquid pressure at a specific depth is isotropic, meaning it acts equally in all directions and is constant at the same vertical level within a connected static fluid.