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⚛️ Physics  ·  Mechanical Properties of Fluids  ·  NEET & JEE

In a hydraulic press, the small piston has area 0.01 m² and the large piston 0.1 m². A force of 100 N on the small piston produces on the large piston a force of:

Answer: 1000 N.

  • A 100 N
  • B 1000 N
  • C 10 N
  • D 10000 N

Correct answer: B. 1000 N

Explanation: F<sub>large</sub> = F<sub>small</sub>·(A<sub>large</sub>/A<sub>small</sub>) = 100·(0.1/0.01) = 1000 N.

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 →