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⚛️ Physics  ·  Mechanical Properties of Fluids  ·  NEET & JEE

The angle of contact θ of a liquid in a capillary tube determines the direction of capillary flow. For mercury on glass (θ ≈ 135°):

Answer: Capillary depression occurs (mercury is pushed down).

  • A Capillary depression occurs (mercury is pushed down)
  • B Capillary rise occurs, exactly as it does for water in a glass tube
  • C No capillary effect occurs for an obtuse angle of contact
  • D Mercury overflows out of the top of the capillary tube largely

Correct answer: A. Capillary depression occurs (mercury is pushed down)

Explanation: When θ > 90°, cosθ < 0. Capillary height h = 2T cosθ/(ρgr) becomes negative. This means capillary depression - mercury is pushed down. Mercury meniscus is convex.

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 →