Question

Fig. shows the same block of wood floating in three different liquids A, B and C of densities ${\rho }_1,{\rho }_2$ and ${\rho }_3$ respectively. Which of the liquid has the highest density? Give reason for your answer.

Answer 1

The upthrust on the body by each liquid is the same and equal to the weight of the body.
However, upthrust = Volume submerged $\times {\rho }_L\times g$ ,
For the liquid C, since the volume submerged is least so the density ${\rho }_3$ must be maximum.