The Reynolds number of a flow is the ratio of

(1) Gravity to viscous force

(2) Gravity force to pressure force

(3) Inertia forces to viscous force

(4) Viscous forces to pressure forces

Water is flowing through a tube of the non-uniform cross-section. The ratio of the radius at the entry and exit end of the pipe is \(3:2\). Then the ratio of velocities at entry and exit of liquid is:
1. \(4:9\)                         
2. \(9:4\) 
3. \(8:27\)                         
4. \(1:1\)

A liquid flows in a tube from left to right as shown in figure. ${\mathrm{A}}_1$ and ${\mathrm{A}}_2$ are the cross-sections of the portions of the tube as shown. Then the ratio of speeds ${\mathrm{v}}_1/{\mathrm{v}}_2$ will be

(1) ${\mathrm{A}}_1/{\mathrm{A}}_2$

(2) ${\mathrm{A}}_2/{\mathrm{A}}_1$

(3) $\sqrt{{\mathrm{A}}_2}/\sqrt{{\mathrm{A}}_1}$

(4) $\sqrt{{\mathrm{A}}_1}/\sqrt{{\mathrm{A}}_2}$

An application of Bernoulli's equation for fluid flow is found in 

(1) Dynamic lift of an aeroplane

(2) Viscosity meter

(3) Capillary rise

(4) Hydraulic press

The Working of an atomizer depends upon

(1) Bernoulli's theorem                 

(2) Boyle's law

(3) Archimedes principle               

(4) Newton's law of motion

The pans of a physical balance are in equilibrium. Air is blown under the right hand pan; then the right hand pan will

(1) Move up

(2) Move down

(3) Move erratically

(4) Remain at the same level

A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The tank was sealed at 3.10 atm. The stored gasoline has a density of 660 ${\mathrm{kgm}}^{-3}$. The velocity with which gasoline begins to shoot out of the hole is
(a) 27.8 ${\mathrm{ms}}^{-1}$                                            (b) 41.0 ${\mathrm{ms}}^{-1}$
(c)  9.6 ${\mathrm{ms}}^{-1}$                                             (d) 19.7 ${\mathrm{ms}}^{-1}$

An L-shaped tube with a small orifice is held in a water stream as shown in fig. The upper end of the tube is 10.6 cm above the surface of water. What will be the height of the jet of water coming from the orifice? Velocity of water stream is 2.45 m/s.
         

1. Zero                                         
2. 20.0 cm                   
3. 10.6 cm                                   
4. 40.0 cm
 

Fig. represents vertical sections of four wings moving horizontally in air. In which case the force is upwards

(1) 

(2) 

(3)

(4) 

A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D

(a) $\mathrm{x}=\sqrt{\mathrm{D}(\mathrm{H}-\mathrm{D})}$

(b) $\mathrm{x}=\sqrt{\frac{\mathrm{D}(\mathrm{H}-\mathrm{D})}{2}}$

(c) $\mathrm{x}=2\sqrt{\mathrm{D}(\mathrm{H}-\mathrm{D})}$

(d) $\mathrm{x}=4\sqrt{\mathrm{D}(\mathrm{H}-\mathrm{D})}$