A large tank of cross-section area A is filled with water to a height H. A small hole of area 'a' is made at the base of the tank. It takes time T1 to decrease the height of water to Hη(η>1) ; and it takes T2 time to take out the rest of water. If T1=T2, then the value of η is
(a) 2                                    (b) 3
(c) 4                                    (d) 22

Concept Questions :-

Bernoulli theorem
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 As the temperature of water increases, its viscosity

(a) Remains unchanged

(b) Decreases

(c) Increases

(d) Increases or decreases depending on the external pressure

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A small drop of water falls from rest through a large height h in air; the final velocity is

(a) h

(b) h

(c) (1/h)

(d) Almost independent of h

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The rate of flow of liquid in a tube of radius r, length l, whose ends are maintained at a pressure difference P is V=πQPr4ηl where η is coefficient of the viscosity and Q is

(a) 8                      (b) 18

(c) 16                     (d) 116

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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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