A test tube of uniform cross-section is floated vertically in a liquid 'A' (density `rho A`) upto a mark on it when it is filled with 'x' ml of a liquid 'B' (density `rho B`). To make the test tube float in liquid B upto the same mark it is filled with y ml of the liquid A. Find the mass of the test tube.

A body of uniform cross-sectional area floats in a liquid of density thrice its value. The portion of exposed height will be :

A test tube of length l and area of cross-section A has some iron fillings of mass M. The test tube floats normally in a liquid of density rho with length x dipped in the liquid. A distribuing force makes the tube oscillate in the liquid. The time period of osciallation is given by (neglect the mass of the test tube)

A beaker is filled with a liquid of density rho upto a height h If the beaker is at rest, the mean pressure at the walls is:

A test tube floats to a depth 4 cm in water and to a depth 8 cm in a liquid. The relative density of the liquid is _____.

A circular tube of uniform cross section is filled with two liquids densities rho_(1) and rho_(2) such that half of each liquid occupies a quarter to volume of the tube. If the line joining the free surfaces of the liquid makes an angle theta with horizontal find the value of theta.

A V-shaped glass tube of uniform cross section is kept in a vertical plane as shown. A liquid is poured in the tube. In equilibrum the level of liquid in both limds of tube. Find the angular frequency of small oscillation of liquid.

A uniform cube of mass M is floating on the surface of a liquid with three fourth of its volume immersed in the liquid (density =rho) . The length of the side of the cube is equal to

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

When a capillary tube of radius r is immersed in a liquid of density rho, the liquid rises to a height h in it. If m is the mass of the liquid in the capillary tube, find the potential energy of this mass of the liquid in the tube.