JAMB Physics 1985 Question 17

Question 17

Density and Upthrust

A uniform cylindrical block of wood floats in water with one-third of its height above the water level. In a liquid of relative density 0.8, what fraction of its height will be above the liquid level?

  1. A.1/6
  2. B.1/5
  3. C.1/3
  4. D.4/5
  5. E.5/6.
Show the answer and explanation

Answer: A (1/6)

Explanation

In water ⅔ is submerged, so the wood's relative density is ⅔. In the liquid the submerged fraction is (⅔)/0.8 = 5/6, leaving 1/6 above the surface.