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⚛️ Physics  ·  Mechanical Properties of Fluids  ·  NEET & JEE

A boat carrying iron cubes floats in a pond. If the cubes are thrown overboard and sink, the water level:

Answer: Falls (iron displaced less water when submerged than when floating).

  • A Falls (iron displaced less water when submerged than when floating)
  • B Rises, since the total mass of boat plus cubes hasn't changed
  • C Stays exactly the same regardless of how the cubes are distributed
  • D Depends only on the density of iron relative to the boat's hull

Correct answer: A. Falls (iron displaced less water when submerged than when floating)

Explanation: When iron is on the boat, it displaces water equal to its weight (dense iron displaces a lot). When submerged, it displaces only its own volume (much less). So water level falls.

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 →