In a horizontal pipe of a non-uniform cross-section, water flows with a velocity of \(1~\text{ms}^{-1}\)${\mathrm{}}^{}$ at a point where the diameter of the pipe is \(20 ~\text{cm}.\) The velocity of water \((\text{ms}^{-1})\) at a point where the diameter of the pipe is \(5~\text{cm}\) is:
1. \(8\)
2. \(16\)
3. \(24\)
4. \(32\)

The speed of flow past the lower surface of a wing of an airplane is \(50~\text{m/s}.\) What speed of flow over the upper surface will give a dynamic lift of \(1000~\text{Pa}?\) 
(density of air \(1.3~\text{kg/m}^3\) )
                 
1. \(25.55~\text{m/s}\)
2. \(63.55~\text{m/s}\)
3. \(13.25~\text{m/s}\)
4. \(6.35~\text{m/s}\)

Which of the following diagrams does not represent a streamline flow?

1.		2.
3.		4.

The water flows through a frictionless tube with a varying cross-section as shown in the figure. The variation of pressure \(P\) at the point \(x\) along the axis is roughly given by:

1.		2.
3.		4.

From the given diagram, what is the velocity \(v_3?\)
               
1. \(4~\text{m/s}\)
2. \(3~\text{m/s}\)
3. \(1~\text{m/s}\)
4. \(2~\text{m/s}\) 

If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are the same, then the angle of contact is:

A beaker full of water is placed on a spring balance. If we put our finger in water without touching the beaker, how will the reading of the balance change?
[Take \(ρ _{finger}   >   ρ _{wate r}\)]