The height of water in a tank is $H$. The range of the liquid emerging out from a hole in the wall of the tank at a depth $\frac {3H}{4}$ form the upper surface of water, will be

An $L-$ shaped glass tube is just immersed in flowing water towards tube as shown. If speed of water current is $V$, then the height $h$ upto which water rises will be

A spherical drop of water has $1\, mm$ radius. If the surface tension of water is $70\times10^{-3}\, N/m$ . Then the difference of pressures between inside and outside of the spherical drop is :

A homogeneous solid cylinder of length $L (L < H/2)$ , cross-sectional area $A$ 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

A given shaped glass tube having uniform cross-section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity $\omega $ then

Two liquids having densities $d_1$ and $d_2$ are mixed in such a way that both have same mass. The density of the mixture is ............