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

A large tank of cross-section area A is filled with water to a height H. A small hole of area 'a' is made at the base of the tank. It takes time ${\mathrm{T}}_1$ to decrease the height of water to $\frac{\mathrm{H}}{\mathrm{\eta }}(\mathrm{\eta }>1)$ ; and it takes ${\mathrm{T}}_2$ time to take out the rest of water. If ${\mathrm{T}}_1={\mathrm{T}}_2$, then the value of $\mathrm{\eta }$ is
(a) 2                                    (b) 3
(c) 4                                    (d) $2\sqrt{2}$

 As the temperature of water increases, its viscosity

(1) Remains unchanged

(2) Decreases

(3) Increases

(4) Increases or decreases depending on the external pressure

A small drop of water falls from rest through a large height h in air; the final velocity is

(1) $\propto \sqrt{\mathrm{h}}$

(2) $\propto \mathrm{h}$

(3) $\propto (1/\mathrm{h})$

(4) Almost independent of h

The rate of flow of liquid in a tube of radius r, length l, whose ends are maintained at a pressure difference P is $\mathrm{V}=\frac{{\mathrm{\pi QPr}}^4}{\mathrm{\eta l}}$ where $\mathrm{\eta }$ is coefficient of the viscosity and Q is-

(1) 8                     

(2) $\frac{1}{8}$

(3) 16                     

(4) $\frac{1}{16}$