Water flowing from a hose pipe fills a 15-liter container in one minute. The speed of water from the free opening of radius 1 cm is (in ms${}^{-1}$) :

1. 2.5

2. $\frac{\mathrm{\pi }}{2.5}$

3. $\frac{2.5}{\mathrm{\pi }}$

4. 5 $\mathrm{\pi }$

The rate of flowing of water from the orifice in a wall of a tank will be more if the orifice is:

1.  Near the bottom

2.  Near the upper end

3.  Exactly in the middle

4.  Does not depend upon the position of the orifice

A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by:
                        

Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure p at points along the axis is represented by:
         

1.		2.
3.		4.

Equation of continuity is based on:

An incompressible liquid travels as shown in the figure. The speed of the fluid in the lower branch will :

1. 1 m/s

2. 1.5 m/s

3. 2.25 m/s

4. 3 m/s

A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m². Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be (P_air=1.2kg/m³)

1. 4.8x10⁵N,downwards

2. 4.8x10⁵N,upwards

3. 24x10⁵N,upwards

4. 24x10⁵N,downwards

Water rises to a height h in capillary tube . If the length of capillary tube is above the surface of water is made less than h, then

1. water rises upto the tip of capillary tube and then starts overflowing like a fountain

2. water rises upto the top of capillary tube and stays there without overflowing

3. water rises upto a point a little below the top and stays there

4. water does not rise at all

A piece of solid weighs 120 g in air, 80 g in water and 60 g in a liquid. The relative density of the solid and that of the liquid are respectively :

1. 3, 2

2. 2,$\frac{3}{4}$

3. $\frac{3}{2}$, 2

4. 3, $\frac{3}{2}$

An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm³ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be: (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm³) 

1. 350 cm³                               

2. 300 cm³

3. 250 cm³                               

4. 22 cm³