A tank is filled with water up to a height H. A hole is made at a depth h below the free surface of the water in the tank. The water coming out of the orifice strikes at a distance S from the walls of the tank. Then S is given by :

(1) 2gH-h(2) gH-h(3) 2gh(4) 4hH-h

 

Concept Questions :-

Equation of continuity
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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

Concept Questions :-

Equation of continuity
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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

Concept Questions :-

Bernoulli theorem
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The energy needed in breaking of a drop of liquid of radius R into n drops of radius r is given by (T is surface tension and P is atmospheric pressure) :

1.  4πr2n-4πR2T

2.  4/3πr2n-4/3πR3T

3.  4πR2n-4πr2T

4.  8πr2n-8πR2T

Concept Questions :-

Surface tension
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Two spherical soap bubbles of radii r1 and r2 in vaccum collapse under isothermal condition. The resulting bubble has radius equal to :

1.  r1 + r22 

2.  r1r2r1 - r2  

3.  r1r1 

4.  r12 + r22

 

Concept Questions :-

Surface tension
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Bernoulli's theorem is based on :

1.  conservation of energy

2.  conservation of mass

3.  conservation of momentum

4.  conservation of angular momentum

Concept Questions :-

Bernoulli theorem
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Equation of continuity based on :

1.  Conservation of mass

2.  Conservation of energy

3.  Conservation of angular momentum

4.  None of these

Concept Questions :-

Equation of continuity
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In the figure below is shown the flow of liquid through a horizontal pipe. Three tubes A, B, and C are connected to the pipe. The radius of the pipe at A, B, and C is 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

Concept Questions :-

Bernoulli theorem
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The area of cross-section of the wider tube shown in the figure is 800 cm2. If a mass of 12 kg is placed on the massless piston, the difference is heights h in the level of water in the two tubes is :

                                             

1.  10 cm

2.  6 cm

3.  15 cm

4.  2 cm

Concept Questions :-

Properties of fluids
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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.

Concept Questions :-

Equation of continuity
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