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Stability of floating bodies and metacentric height (GM) Two floating bodies A and B have metacentric heights GM of 1 m and 1.5 m respectively. Compare their stability and choose the correct statement.

Difficulty: Easy

The bodies A and B have equal stability
The body A is more stable than body B
The body B is more stable than body A
The bodies A and B are unstable

Correct Answer: The body B is more stable than body A

Explanation:

Concept/Approach
For small heel angles, the initial stability of a floating body increases with metacentric height GM. Larger GM ⇒ stronger righting moment for the same heel.

Step-by-step
GM_B = 1.5 m > GM_A = 1 m ⇒ B has greater initial stability.

Final Answer
The body B is more stable than body A

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