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Important Questions on Mechanical Properties of Fluids

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Two rain drops falling through air have radii in the ratio 1: 2. They will have terminal velocity in the ratio________
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Identify the incorrect statement regarding Reynold's number Re:
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What is the terminal velocity of air bubble of 1.0 mm in diameter rising in liquid of viscosity 0.85 N-s m-2 and density 900 kg m-3 ?(air density 1.293 kg m-3, g=9 m s-2
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The terminal velocity vt of the spherical rain drop depends on the radius r of the spherical rain drop as 
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A small spherical body of radius r and density ρ moves with the terminal velocity v in a fluid of coefficient of viscosity η and density σ. What will be the net force on the body?

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If p is the density and η is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is
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A flat plate of area 10 cm2 is separated form a large plate by a layer of Glycerine 1 mm thick. If the coefficient of viscosity of Glycerine is 20 poise, the force required to keep the plate moving with a velocity of 1 cm s-1 is       
 

HARD
Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity u0. Which of the following statements is (are) true?
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The velocity of rain drop having radius 1 mm is 20 cm s-1. The velocity of raindrops of size 3 mm is
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Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is V. if the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become
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A water drop of radius 1μm falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is 1.8×10-5 N s m-2 and its density is negligible as compared to that of water 106 g m-3. Terminal velocity of the water drop is

(Take acceleration due to gravity =10 m s-2)

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In an experiment to verify Stokes law, a small spherical ball of radius r and density ρ falls under gravity through a distance h in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of h is proportional to: (ignore viscosity of air)
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A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball v as a function of time t is

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Oil is used for frying food materials rather than water, since oil
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A small sphere of radius r falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains terminal velocity, is proportional to
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Two capillary tubes of same length each of 50 cm but of different radii 4 mm and 2 mm are connected in series. When water flows, the pressure difference between the ends of the arrangement is P. Then the pressure difference between the ends of the first tube is
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A solid sphere of volume V experiences a viscous force F when descending with a speed v in a liquid. If another solid sphere of volume 27 V descends with the same speed v in the same liquid, it experiences a viscous force
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An air bubble of radius 1.0 cm rises with a constant speed of 3.5 mm s-1 through a liquid of density 1.75×103 kg m-3. Neglecting the density of air. the coefficient of viscosity of the liquid is _________ kgm-1 s-1
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Two rain drops falling through air have radii in the ratio 1: 2. They will have terminal velocity in the ratio
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The velocity of water in a river is 18 km h-1 near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water=10-2 poise.