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JAMB Physics 1992 Question 12

Question 12

Density and Upthrust

If a plastic sphere floats in water (density = 1000 kg m−3) with 0.5 of its volume submerged and floats on oil with 0.4 of its volume submerged, the density of the oil is

  1. A.800 kg m−3
  2. B.1200 kg m−3
  3. C.1250 kg m−3
  4. D.2000 kg m−3
Show the answer and explanation

Answer: C (1250 kg m−3)

Explanation

A floating body displaces its own weight in both liquids: 0.5V × 1000 = 0.4V × ρ, so ρ = 500/0.4 = 1250 kg m−3.