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Largest radius of a coin that can float on water by surface tension

The same question, asked 2 times: May 2022 S1*, 13 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    May 2022 S1

    36
    A steel coin of thickness dd and density ρ\rho is floating on water of surface tension TT. The radius of the coin (RR) is [gg = acceleration due to gravity]

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  2. Question 2

    13 May 2026 S2

    112
    What is the radius of the biggest aluminium coin of thickness tt and density ρ\rho, which will be able to float on the water surface of surface tension TT? (gg = acceleration due to gravity)

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