An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is

(a)    3.0 m/s                           (b) 1.5 m/s

(c) 1.0 m/s                             (d) 2.25 m/s

Concept Questions :-

Equation of continuity
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The velocity of kerosene oil in a horizontal pipe is 5 m/s. If $\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^{2}$ then the velocity head of oil will be
(a) 1.25 m                                (b) 12.5 m
(c) 0.125 m                              (d) 125 m

Concept Questions :-

Equation of continuity
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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

(a) Height of the liquid in the tube A is maximum

(b) Height of the liquid in the tubes A and B is the same

(c) Height of the liquid in all the three tubes is the same

(d) Height of the liquid in the tubes A and C is the same

Concept Questions :-

Bernoulli theorem
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A manometer connected to a closed tap reads . When the valve is opened, the reading of manometer falls to  , then velocity of flow of water is
(a) 100 m/s                                       (b) 10 m/s
(c) 1 m/s                                           (d) $10\sqrt{10}$ m/s

Concept Questions :-

Bernoulli theorem
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Difficulty Level:

A large tank filled with water to a height ‘h’ is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to $\frac{\mathrm{h}}{2}$ and from $\frac{\mathrm{h}}{2}$ to zero is

(a) $\sqrt{2}$                                               (b) $\frac{1}{\sqrt{2}}$

(c) $\sqrt{2}-1$                                          (d) $\frac{1}{\sqrt{2}-1}$

Concept Questions :-

Bernoulli theorem
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Difficulty Level:

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
(a) 10                                        (b) 20
(c) 25.5                                     (d) 5

Concept Questions :-

Bernoulli theorem
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Difficulty Level:

There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm () then the velocity of water flowing from hole is

(a)  m/s             (b)  m/s

(c)  m/s                (d) None of these

Concept Questions :-

Bernoulli theorem
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A cylindrical tank has a hole of  in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of . then the maximum height up to which water can rise in the tank is
(a) 2.5 cm                                              (b) 5 cm
(c) 10 cm                                               (d) 0.25 cm

Concept Questions :-

Bernoulli theorem
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Difficulty Level:

A square plate of 0.1 m side moves parallel to a second plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 N and the coefficient of viscosity is 0.01 poise, distance between the plates in m is

(a) 0.1                              (b) 0.05
(c) 0.005                          (d) 0.0005

Concept Questions :-

Viscosity
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Difficulty Level:

Spherical balls of radius 'r' are falling in a viscous fluid of viscosity '$\mathrm{\eta }$' with a velocity 'v'. The retarding viscous force acting on the spherical ball is

(a) Inversely proportional to 'r' but directly proportional to velocity 'v'

(b) Directly proportional to both radius 'r' and velocity 'v'

(c) Inversely proportional to both radius 'r' and velocity 'v'

(d) Directly proportional to 'r' but inversely proportional to 'v'

Concept Questions :-

Viscosity
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Difficulty Level: