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

1.		2.
3.		4.

With an increase in temperature, the viscosity of:
(a) gases decreases.
(b) liquids increases.
(c) gases increases.
(d) liquids decreases.
Which of the following options is/are correct?

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

A metal block of area $0.10$ ${\mathrm{m}}^2$ is connected to a 0.010 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 mm is placed between the block and the table. When released the block moves to the right with a constant speed of 0.085 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 aeroplane is 50 m/s. What speed of flow over the upper surface will give a dynamic lift of 1000 Pa? (Density of air = 1.3 kg/m³):
        
1. 25.55 m/s

2. 63.55 m/s

3. 13.25 m/s

4. 6.355 m/s

Water flows through a frictionless tube with a varying cross-section as shown in the figure. Variation of pressure P at point x along the axis is roughly given by:

1.		2.
3.		4.

From the given diagram, the velocity \(v_3\) is:
               
 

If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are 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 ${\mathrm{\rho }}_{\mathrm{finger}}$ $>$ ${\mathrm{\rho }}_{\mathrm{water}}$]
1. Increase
2. Decrease
3. Remain the same
4. Will be halved

There are four cylindrical vessels identical in dimensions. If these are filled with equal masses of four different liquids P, Q, R, and S such that their densities are ${\mathrm{\rho }}_{\mathrm{p}}$ $>$ ${\mathrm{\rho }}_{\mathrm{Q}}$ $>$ ${\mathrm{\rho }}_{\mathrm{R}}$ $>$ ${\mathrm{\rho }}_{\mathrm{S}}$, then pressure at the base of vessel will be: