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

(a) 4Q                          (b) Q

(c) Q4                          (d) Q8

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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
(a) 3 m/s                                        (b) 6 m/s
(c) 12 m/s                                       (d) 8 m/s

Concept Questions :-

Equation of continuity
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A manometer connected to a closed tap reads 4.5×105 pascal. When the tap is opened the reading of the manometer falls to 4×105 pascal. Then the velocity of flow of water is 
1. 7  ms-1                             2. 8 ms-1
3. 9 ms-1                              4. 10 ms-1

Concept Questions :-

Bernoulli theorem
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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).

(a) r2g9ηρ-2σ                     (b) r2g9η2ρ-σ

(c) r2g9ηρ-σ                        (d) 2r2g9ηρ-σ

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Consider the following equation of Bernoulli’s theorem-

P+12ρV2+ρgh=K(constant)

The dimensions of K/P are the same as that of which of the following?

(a) Thrust                         (b) Pressure
(c) Angle                          (d) Viscosity

Concept Questions :-

Bernoulli theorem
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An incompressible fluid flows steadily through a cylindrical pipe which has radius 2r at point A and radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is 


(a) 2v                                (b) v
(c) v/2                               (d) 4v

Concept Questions :-

Equation of continuity
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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 fig. The lower density liquid is open to atmosphere having pressure P0. Then density D of solid is given by

(a) 54d                      (b) 45d

(c) d                          (d) d5

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Archimedes principle
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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

(a) l decreases and h increases

(b) l increases and h decreases

(c) Both l and h increase

(d) Both l and h decrease

Concept Questions :-

Archimedes principle
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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-

(a) Remains same                         (b) Rises
(c) Lowers                                    (d) (a), (b) or (c)

Concept Questions :-

Archimedes principle
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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

(a)Aa2gH1-H2              (b) 2gh

(c) 2gh(H1-H2)                      (d) Aag2H1-H2

Concept Questions :-

Bernoulli theorem
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