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 $\,m/s$)

$A$ river gradually deepens from a depth of $4 \ m$ to a depth of $8 \ m$ as shown. The width,$W$,of the river does not change. At the depth of $4 \ m$,the river's speed is $12 \ m/s$. Its velocity at the $8 \ m$ depth is ......... $m/s$.

$A$ gardening pipe having an internal radius '$R$' is connected to a water sprinkler having '$n$' holes each of radius '$r$'. The water in the pipe has a speed '$v$'. The speed of water leaving the sprinkler is

An incompressible liquid flows through a horizontal tube as shown in the following figure. Then the velocity $v$ of the fluid is ....... $m/s$.

Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3}\, m$. The water velocity as it leaves the tap is $0.04\, ms^{-1}$. The diameter of the water stream at a distance $8 \times 10^{-1}\, m$ below the tap is close to

The cylindrical tube of a spray pump has radius $R,$ one end of which has $n$ fine holes,each of radius $r.$ If the speed of the liquid in the tube is $v,$ the speed of the ejection of the liquid through the holes is