The weight of an aeroplane flying in the air is balanced by 

1. Vertical component of the thrust created by air currents striking the lower surface of the wings

2. Force due to reaction of gases ejected by the revolving propeller

3. Upthrust of the air which will be equal to the weight of the air having the same volume as the plane

4. Force due to the pressure difference between the upper and lower surfaces of the wings created by different air speeds on the surfaces

A wind with speed \(40~\text{m/s}\) blows parallel to the roof of a house. The area of the roof is \(250~\text{m}^2\). 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: \(\left(\rho_{\text{air}}= 1.2~\text{kg/m}^3 \right)\)
1. \(4.8\times 10^{5}~\text{N}, ~\text{downwards}\)
2. \(4.8\times 10^{5}~\text{N}, ~\text{upwards}\)
3. \(2.4\times 10^{5}~\text{N}, ~\text{upwards}\)
4. \(2.4\times 10^{5}~\text{N}, ~\text{downwards}\)

An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

1. \(\dfrac{1}{2} m v^{3}\)                                   

2. \(m v^{3}\)

3. \(\dfrac{1}{2} m v^{2}\)                                   

4. \(\dfrac{1}{2} m^{2} v^{2}\)

The velocity of kerosene oil in a horizontal pipe is \(5 ~\text{m/s}.\) If \(g = 10 ~\text{m/s} ^2 ,\) then the velocity head of oil will be:
1. \(1.25 ~\text m\)
2. \(12.5 ~\text m\)
3. \(0.125 ~\text m\)       
4. \(125 ~\text m\)

In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the

1. Height of the liquid in the tube A is maximum

2. Height of the liquid in the tubes A and B is the same

3. Height of the liquid in all the three tubes is the same

4. Height of the liquid in the tubes A and C is the same

A manometer connected to a closed tap reads $3.5\times {10}^5<mspace\; width="1em"></mspace>\mathrm{N}/{\mathrm{m}}^2$. When the valve is opened, the reading of manometer falls to $3.0\times {10}^5<mspace\; width="1em"></mspace>\mathrm{N}/{\mathrm{m}}^2$ , then velocity of flow of water is
1. 100 m/s                                       

2. 10 m/s

3. 1 m/s                                           

4. $10\sqrt{10}$ m/s

A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in m/s) through a small hole on the side wall of the cylinder near its bottom is
1. 10                                       

2. 20

3. 25.5                                     

4. 5

There is a hole in the bottom of tank having water. If total pressure at bottom is \(3\text{ atm}\) ($1<mspace\; width="1em"></mspace>\mathrm{atm}={10}^5<mspace\; width="1em"></mspace>\mathrm{N}/{\mathrm{m}}^2$) then the velocity of water flowing from hole is 

1. \(\sqrt{400}\) m/s           
2. \(\sqrt{600}\) m/s
3. \(\sqrt{60}\) m/s               
4. None of these

A cylindrical tank has a hole of $1<mspace\; width="1em"></mspace>{\mathrm{cm}}^2$ in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of $70<mspace\; width="1em"></mspace>{\mathrm{cm}}^3/\sec$. then the maximum height up to which water can rise in the tank is
1. 2.5 cm                                             

2. 5 cm

3. 10 cm                                               

4. 0.25 cm

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