A horizontal syringe is 1.25 m above the ground. Plunger diameter is 8 mm, nozzle diameter is 2 mm, and the plunger moves at 0.25 m s⁻¹. Find the horizontal range of the water stream. Take g = 10 m s⁻². Image
Physics · Fluid Mechanics
JEE Mains Advanced

Question

A horizontal syringe is 1.25 m above the ground. Plunger diameter is 8 mm, nozzle diameter is 2 mm, and the plunger moves at 0.25 m s⁻¹. Find the horizontal range of the water stream. Take g = 10 m s⁻². 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 2. Final answer: 2.