A solid floats in liquid A with half its volume immersed and in liquid B with 2/3 of its volume immersed. The densities of the liquids A and B are in the ratio.

A solid floats in liquid A with half its volume immersed and in liquid

1.	A solid floats in liquid A with half its volume immersed and in liquid B with 2/3 of its volume immersed. The densities of the liquids A and B are in the ratio.
Answer» Solution :WEIGHT of liquid A DISPLACED is `W_A = 1/2 V rho_A G` Weight of liquid B displaced is `W_B = 2/3 rho_B g` According to Archimede.s principle `W_A = W_B` `1/2 V rho_A g = 2/3 V rho_B g` `(rho_A)/(rho_B) = 4/3`