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Q59 (NDA-I/2026) Science & Technology › Basic Science (Physics, Chemistry, Biology)

A floating body is in stable state. Which one of the following is correct?

Result
Your answer: —  Â·  Correct: D

Explanation

For a floating body, stability is determined by the relative position of the centre of gravity (G) and the metacentre (M). The metacentre is the point of intersection between the vertical line passing through the new centre of buoyancy (after a small angular displacement) and the original vertical axis of the body.

  • Stable Equilibrium: The floating body is stable if the metacentre (M) is located above the centre of gravity (G). In this state, a restoring couple is formed that returns the body to its original position.
  • Unstable Equilibrium: If M is below G, the body will capsize.
  • Neutral Equilibrium: If M coincides with G.

While for submerged bodies the centre of gravity must be below the centre of buoyancy for stability, for floating bodies, the condition is specifically that G must be below M.

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