Two identical holes each of cross-sectional area 10⁻³ m² are made on the opposite sides of a tank containing water as shown in the figure. As the water comes out of the holes, the tank will experience a net horizontal force of 20 N. The difference in height (in m) between the holes. Image
Physics · Fluid Mechanics
JEE Mains Practice

Question

Two identical holes each of cross-sectional area 10⁻³ m² are made on the opposite sides of a tank containing water as shown in the figure. As the water comes out of the holes, the tank will experience a net horizontal force of 20 N. The difference in height (in m) between the holes. Image

Physics · Fluid Mechanics

G1 Physics · Accepted Answer

Step 1: Use continuity A₁v₁ = A₂v₂ and Bernoulli's equation P + ½ρv² + ρgh = constant; for jets use momentum flux ṁΔv. Step 2: Substitute the stated areas, levels and pressures, including Torricelli v = √(2gh) where applicable. Applying these relations to the given data gives 1. Final answer: 1.