A wooden block with a coin placed on its top floats in water as shown in figure. $l$ and $h$ are as shown. After some time the coin falls into the water then 

A homogeneous solid cylinder of length $L(L < H/2)$, cross-sectional area $A/5$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $L/4$ 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

The graph between terminal velocity (along $y-$ axis) and square of radius (along $x-$ axis) of spherical body of density $\rho $ allowed to fall through a fluid of density $\sigma $ is a

A $U$ tube contains water and methylated spirit separated by mercury . The mercury columns in the two arms are at the same level with $10\,cm$ of water in one arm and $12.5\,cm$ of spirit in the other as shown in figure. The relative density of the spirit is

Water falls from a tap, down the streamline

Which of the following functions of $A$ and $B$ may be performed if $A$ and $B$ possess different dimensions