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 $.........\,cm/s$.

Select the correct statement regarding streamline flow.

Water falls from a tap,down the streamline. What happens to the cross-sectional area of the water stream?

Water falls from a tap,down the streamline.

The radius of the cross-section of the cylindrical tube of a spray pump is $2 \,cm$. One end of the pump has $50$ fine holes, each of radius $0.4 \,mm$. If the speed of flow of the liquid inside the tube is $0.04 \,ms^{-1}$, what is the speed of ejection of the liquid from the holes (in $\,ms^{-1}$)?

Water flows through a horizontal pipe at a speed '$V$'. The internal diameter of the pipe is '$d$'. If the water is emerging from a nozzle at a speed '$V_1$',then the diameter of the nozzle is: