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JEE Advanced 2006
Exam
JEE Advanced
Year
2006
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Advanced 2006 · Physics · Mechanical Properties of Fluids

Paragraph: A wooden cylinder of diameter 4 r , height H and density...

Paragraph: A wooden cylinder of diameter 4r4 r, height HH and density ρ/3\rho / 3 is kept on a hole of diameter 2r2 r of a tank, filled with liquid of density ρ\rho as shown in the figure.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,
Question: If height h2h_2 of water level is further decreased, then

Options

  1. Acylinder will not move up and remains at its original position
  2. Bfor h2=h/3h_2=h / 3, cylinder again starts moving up
  3. Cfor h2=h/4h_2=h / 4, cylinder again starts moving up
  4. Dfor h2=h/5h_2=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<4h9h_2 < \frac{4 h}{9}, buoyant force will further decrease. Hence, the cylinder remains at its original position.
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