There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is h. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to-

A homogeneous solid cylinder of length $L(L<\frac{H}{2}),$ cross-sectional area $\frac{A}{5}$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $\frac{L}{4}$ in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure $P_0.$ Then, density $D$ of solid is given by :-

A mercury manometer is connected as shown in the figure. The difference in height $\Delta h$ is : (symbols have usual meaning).

An open pan P filled with water (density ${\rho }_w$ ) is placed on a vertical rod, maintaining equilibrium. A block of density $\rho$ is placed on one side of the pan as shown. Water depth is more than height of the block.

A massless conical flask filled with a liquid is kept on a table in a vacuum. The force exerted by the liquid on the base of the flask is $W_1.$ The force exerted by the flask on the table is $W_2.$

The vessel shown in the figure has two sections of areas of cross-section $A_1$ aind $A_2.$ A liquid of density $\rho$ fills both the sections, up to a height $h$ in each. Neglect atmospheric pressure:-

 A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section $A_1$ and $A_2,$ are $v_1$ and $v_2$ respectively. The difference in the levels of the liquid in the two vertica tubes is $h-$

A vertical $U$-tube contains a liquid. The total length of the liquid column inside the tube is $l.$ When the liquid is in equilibrium, the liquid surface in one of the arms of the U-tube is pushed down slightly and released. The entire liquid column will undergo a periodic motion :-