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

A rectangular vessel when full of water takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water
(1) 9 minute                       

(2) 7 minute

(3) 5 minute                       

(4) 3 minute

A streamlined body falls through air from a height h on the surface of a liquid. If d and D(D > d) represents the densities of the material of the body and liquid respectively, then the time after which the body will be instantaneously at rest, is

(1) $\sqrt{\frac{2\mathrm{h}}{\mathrm{g}}}$                         

(2) $\sqrt{\frac{2\mathrm{h}}{\mathrm{g}}·\frac{D}{d}}$

(3) $\sqrt{\frac{2\mathrm{h}}{\mathrm{g}}·\frac{d}{D}}$                   

(4) $\sqrt{\frac{2\mathrm{h}}{\mathrm{g}}}\left(\frac{d}{D-d}\right)$