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The following terms relate to floating bodies:  where G = Centre of gravity, M = Meta Centre, W = Weight of floating body, FB = Buoyant force. Match List-I with List-II and select the correct answer. List-I (Condition)  List-II (Result) A. G is above M 1. Stable equilibrium B. G and M coincide 2. Unstable equilibrium C. G is below M 3. Floating body D. FB ≥ W 4. Neutral equilibrium

The following terms relate to floating bodies:  where G = Centre of gravity, M = Meta Centre, W = Weight of floating body, FB = Buoyant force. Match List-I with List-II and select the correct answer. List-I (Condition)  List-II (Result) A. G is above M 1. Stable equilibrium B. G and M coincide 2. Unstable equilibrium C. G is below M 3. Floating body D. FB ≥ W 4. Neutral equilibrium Correct Answer A-2, B-4, C-1, D-3

Explanation:

Condition of stable equilibrium for a floating body in terms of metacentric height (GM) as follows:

  • Stable equilibrium : GM > 0 (M is above G) i.e. Metacentric height is positive.
  • Neutral equilibrium : GM = 0 (M coinciding with G)
  • Unstable equilibrium : GM < 0 (M is below G)

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Condition of stable equilibrium for a submerged body in terms of centre of buoyancy and the centre of gravity:

  • Stable equilibrium: If its centre of gravity is directly below the centre of buoyancy
  • Neutral equilibrium: If its centre of gravity is coincident with the centre of buoyancy
  • Unstable equilibrium: If its centre of gravity is directly above the centre of buoyancy

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