Water flows in a streamlined manner through a capillary tube of radius a, the pressure difference being P and the rate of flow Q. If the radius is reduced to a/2 and the pressure increased to 2P, the rate of flow becomes

(1) 4Q                          

(2) Q

(3) Q4                         

(4) Q8

Subtopic:  Viscosity |
 70%
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Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tube of diameter 2 cm. The velocity of water in the other pipe is
(1) 3 m/s                                       

(2) 6 m/s

(3) 12 m/s                                       

(4) 8 m/s

Subtopic:  Equation of Continuity |
 82%
From NCERT
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What is the velocity v of a metallic ball of radius r falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are ρ and σ respectively, and the viscosity of the liquid is η).

(1) r2g9ηρ-2σ                     

(2) r2g9η2ρ-σ

(3) r2g9ηρ-σ                       

(4) 2r2g9ηρ-σ

Subtopic:  Viscosity |
From NCERT
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An incompressible fluid flows steadily through a cylindrical pipe which has a radius 2r at point A and a radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is:
1. 2v                               
2. v
3. v/2                               
4. 4v

Subtopic:  Equation of Continuity |
 84%
From NCERT
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A homogeneous solid cylinder of length L(L<H/2) . Cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure P0. Then density D of solid is given by

(1) 54d   
                 
(2) 45d

(3) d     
                   
(4) d5

Subtopic:  Archimedes' Principle |
 70%
From NCERT
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 A wooden block with a coin placed on its top, floats in water as shown in fig. The distance l and h are shown there. After some time the coin falls into the water. Then:
                      

1. l decreases and h increases
2. l increases and h decreases
3. Both l and h increase
4. Both l and h decrease

Subtopic:  Archimedes' Principle |
 59%
From NCERT
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A block of ice floats on a liquid of density 1.2 g/cm3 in a beaker. Then level of liquid when ice completely melts-

(1) Remains same                         

(2) Rises

(3) Lowers                                   

(4) (a), (b) or (c)

Subtopic:  Archimedes' Principle |
 50%
From NCERT
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A vessel of area of cross-section A has liquid to a height H. There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from H1 to H2 will be

(1)Aa2gH1-H2             

(2) 2gh

(3) 2gh(H1-H2)                     

(4) Aag2H1-H2

Subtopic:  Bernoulli's Theorem |
 75%
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A lead shot of 1mm diameter falls through a long column of glycerine. The variation of its velocity v with distance covered is represented by

Subtopic:  Viscosity |
 75%
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Water flows through a frictionless duct with a cross-section varying as shown in fig. Pressure p at points along the axis is represented by

Subtopic:  Bernoulli's Theorem |
 75%
From NCERT
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