JAMB Physics 1992 Question 11

Question 11

Density and Upthrust

The figure above shows the heights of two liquids X and Y when some air is sucked out of the apparatus through the pump P. The diameter of the table in X is twice that of the tube in Y. What is the relative density of liquid X with respect to liquid Y?

Diagram for this question
  1. A.1/3
  2. B.2/3
  3. C.3
  4. D.6
Show the answer and explanation

Answer: C (3)

Explanation

Both columns are held up by the same pressure difference, so ρX × 7.5 = ρY × 22.5, giving ρX/ρY = 3. The tube diameter does not matter.