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Gravitational acceleration at moon is 1/6 of that on earth. On earth, if an object floats in water with fraction 'fe' of its volume submersed in water, and on moon, fraction 'fm' is submersed, then

This question was previously asked in
CDS 2 2026 Maths Question Paper (13-Sep-2026)
The correct answer is

fe = fm

For a floating object, its weight equals the weight of the water it displaces. Since both the object's weight and the buoyant force are proportional to the same value of 'g', the acceleration due to gravity cancels out of this balance, leaving the submerged fraction dependent only on the ratio of the object's density to water's density. Therefore the submerged fraction is the same on the Moon as on Earth, so fe equals fm.

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