JAMB Physics 1987 Question 15

Question 15

Density and Upthrust

A cube of side 10 cm and mass 0.5 kg floats in a liquid with only 1/5 of its height above the liquid surface. What is the relative density of the liquid?

  1. A.0.125
  2. B.0.250
  3. C.0.625
  4. D.2.500.
Show the answer and explanation

Answer: C (0.625)

Explanation

4/5 of the 1000 cm3 is under the liquid: 800 cm3 of liquid must weigh 500 g. Density = 500/800 = 0.625 g cm−3.