A steel ball is floating in a trough of mercury. If we fill the empty part of the trough with water, what will happen to the steel ball :-

A balloon filled with air is weighted, so that it barely floats in water as shown in figure. When it is pushed down so that it gets submerged a short distance in water, then the balloon:-

A solid uniform ball having volume $V$ and density $\rho$ floats at the interface of two immiscible liquids as shown in figure. The densities of the upper and the lower liquids are ${\rho }_1$ and ${\rho }_2$ respectively, such that ${\rho }_1<\rho <{\rho }_2$. What fraction of the volume of the ball will be in the lower liquid :-

Three blocks, labelled $A, B,$ and $C,$ are floating in water as shown in the drawing. Blocks $A$ and $B$ have the same mass and volume. Block $C$ has the same volume, but is submerged to a greater depth than the other two blocks. Which one of the following statements concerning this situation is/are true ?

A cylindrical vessel filled with water is released on an inclined surface of angle $\theta$ as shown in figure. The friction coefficient of surface with vessel is $\mu (<\tan \theta ).$ Then the constant angle made by the surface of water with the incline will be-

A cylindrical container of radius $\text{'}R\text{'}$ and height $\text{'}h\text{'}$ is completely filled with a liquid. Two horizontal $L$ shaped pipes of small cross-section area $\text{'}a\text{'}$ are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is-