With an increase in temperature, the viscosity of:

(a)	gases decrease.	(b)	liquids increase.
(c)	gases increase.	(d)	liquids decrease.

Which of the following options is/are correct?

1.	(b), (c)	2.	(a), (d)
3.	(c), (d)	4.	(a), (b)

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

1.		2.
3.		4.

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. \(32\)

A metal block of area \(0.10~\text{m}^{2}\) is connected to a \(0.010~\text{kg}\) mass via a string that passes over an ideal pulley (considered massless and frictionless), as in the figure below. A liquid film with a thickness of \(0.30~\text{mm}\) is placed between the block and the table. When released the block moves to the right with a constant speed of \(0.085~\text{m/s}.\) The coefficient of viscosity of the liquid is:

            
1. \(4.45 \times 10^{-2}~\text{Pa-s}\)
2. \(4.45 \times 10^{-3}~\text{Pa-s}\)
3. \(3.45 \times 10^{-2}~\text{Pa-s}\)
4. \(3.45 \times 10^{-3}~\text{Pa-s}\)

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. \(6.35~\text{m/s}\)

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 \(ρ _{finger}   >   ρ _{wate r}\)]