When a loaded test tube floats vertically with `1/3` and `1/4` of the lengths inside two liquids, then the ratio of the densities of the two liquids is

A variable immersion hydrometer is immersed upto (1)/(2) " and " (1)/(3) of its volume in two given liquids, respectively. Then the ratio of the densities of the two liquids is _____.

A cube of side 4 cm is just completely immersed in a liquid A. When it is put in a liquid B, it floats with 2 cm outside the liquid. Calculate the ratio of densities of the two liquids.

Two capillary tubes of radii 0.2 cm and 0.4 cm are dipped inside the same liquid. Determine the ratio of the heights of the liquid in the two tubes.

If two immiscible liquids in a U-tube are in equilibrium, then how are the heights of the two liquids from the surface of separation related with the densities of the two liquids?

A cylindrical block floats vertically in a liquid of density rho_(1) kept in a container such that the fraction of volume of the cylinder inside the liquid is x_(1) . Then some amount of another immiscible liquid of density rho_(2) (rho_(2) lt rho_(1)) is added to the liquid in the container so that the cylinder now floats just fully immersed in the liquids with x_(2) fraction of volume of the cylinder inside the liquid of density rho_(1) . The ratio rho_(1)//rho_(2) will be

A cube of side 4cm is just completely immersed liquid A. When it is put in liquid B, it floats with 2 cm outside the liquid. Calculate the ratio fo densities of two liquids.