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Density of a sphere floating half in mercury and half in oil

The same question, asked 2 times: 11 Apr 2026 S1*, 12 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    11 Apr 2026 S1

    111
    A vessel contains oil (density =0.8 gm/cm3= 0.8\ \mathrm{gm/cm^3}) over mercury (density =13.6 gm/cm3= 13.6\ \mathrm{gm/cm^3}). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in gm/cm3\mathrm{gm/cm^3} is

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  2. Question 2

    12 May 2026 S1

    109
    A vessel contains oil (density =0.6 g/cm3= 0.6\ \mathrm{g/cm^3}) over mercury (density =13.6 g/cm3= 13.6\ \mathrm{g/cm^3}). A homogeneous sphere floats with half its volume immersed in mercury and the remaining half in oil. The density of the material of the sphere in g/cm3\mathrm{g/cm^3} is

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