The figure below shows a liquid being pushed out of a tube by a piston having a cross-sectional area of $2.0\,cm^2$. The cross-sectional area at the outlet is $10\,mm^2$. If the piston is pushed at a speed of $4\,cm/s$,the speed of the outgoing fluid is $.........\,cm/s$.

Water flows through a horizontal pipe of varying cross-section at the rate of $\pi \times 10^{-1} \,m^3/s$. The velocity of water at a point where the radius of the pipe is $10 \,cm$ is $(\pi = 3.14)$. (in $\,m/s$)

$A$ pipe having an internal diameter $D$ is connected to another pipe of the same size. Water flows into the second pipe through $n$ holes, each of diameter $d$. If the water in the first pipe has speed $v$, what is the speed of water leaving the second pipe?

An incompressible fluid (ideal fluid) is flowing through a non-uniform cross-sectional tube $PQ$ from end $P$ to end $Q$. If $K_P$ and $K_Q$ are the kinetic energy per unit volume of the fluid at end $P$ and end $Q$ respectively, then

Water is flowing through two horizontal pipes of different diameters which are connected together. The diameters of the two pipes are $3\, cm$ and $6\, cm$ respectively. If the speed of water in the narrower pipe is $4\, m/s$ and the pressure is $2.0 \times 10^4\, Pa$,then the speed of water in the wider pipe is ........ $m/s$.

$A$ liquid flows in the tube from left to right as shown in the figure. $A_1$ and $A_2$ are the cross-sections of the portions of the tube as shown. The ratio of speed $\frac{v_1}{v_2}$ will be ..........