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JEE Advanced2006PhysicsMechanical Properties of FluidsActual

Paragraph: A wooden cylinder of diameter 4 r , height H and density / 3 is kept on a hole of diameter 2 r of a tank, filled with liquid of density as shown in the figure. Question: If height h₂ of water level is further decreased, then

Options

  1. Acylinder will not move up and remains at its original position
  2. Bfor h₂=h / 3 , cylinder again starts moving up
  3. Cfor h₂=h / 4 , cylinder again starts moving up
  4. Dfor h₂=h / 5 cylinder again starts moving up

Correct answer

A. cylinder will not move up and remains at its original position

Step-by-step solution

For h₂ < 4 h 9 , buoyant force will further decrease. Hence, the cylinder remains at its original position.

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