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⚛️ Physics  ·  Mechanical Properties of Fluids  ·  NEET & JEE

A spherical water drop of radius 0.5 mm has surface tension 0.072 N/m. The excess pressure inside the drop is:

Answer: 288 Pa.

  • A 576 Pa
  • B 144 Pa
  • C 72 Pa
  • D 288 Pa

Correct answer: D. 288 Pa

Explanation: A liquid drop has one surface, so &Delta;P = 2T/r = 2 &times; 0.072/(5 &times; 10<sup>-4</sup>) = 288 Pa.

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 →