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⚛️ Physics  ·  Mechanical Properties of Fluids  ·  NEET & JEE

A hole is 0.5 m below the water surface of a tank, and 2 m above the ground (g = 10 m/s<sup>2</sup>). The horizontal range of the jet is:

Answer: 2 m.

  • A 1 m
  • B 4 m
  • C 2.8 m
  • D 2 m

Correct answer: D. 2 m

Explanation: Range = 2&radic;(hy) = 2&radic;(0.5 &times; 2) = 2 m.

Continuity Equation: Narrow Pipe → Faster FlowA₁, v₁ (wide, slow)A₂, v₂ (narrow, fast)A₁v₁ = A₂v₂ (continuity)Smaller area → higher speed → (by Bernoulli) LOWER pressure

Since the same volume of fluid must pass every cross-section per second (continuity), the fluid speeds up where the pipe narrows; Bernoulli's equation then says this faster-moving fluid has lower pressure - the principle behind a venturi meter and an aircraft wing's lift.

Concept context

Pressure, buoyancy, Bernoulli equation, viscosity, and surface tension.

Read the full Mechanical Properties of Fluids notes →