JAMB Physics 2016 Paper

Concept:Relative density is the ratio of the density of a substance to the density of water.Explanation:For the same volume of liquid and water, $$\text{relative density} = \frac{\rho_{\text{liquid}}}{\rho_{\text{water}}}$$.By Archimedes' principle, upthrust equals the weight of the displaced fluid, so upthrust is proportional to the fluid's density for the same object volume.Hence, $$\text{relative density of liquid} = \frac{\text{upthrust in liquid}}{\text{upthrust in water}}$$.Answer:B. Upthrust in the liquid to the upthrust in water.