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The force which tends to destroy the rel...

The force which tends to destroy the relative motion between liquid layers is known as

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When a liquid flows in a tube, there is relative motion between adjacent layers of the liquid. This force is called the viscous force which tends to oppose the relative motion between the layers of the liquid. Newton was the first person to study the factors that govern the viscous force in a liquid. According to Newton’s law of viscous flow, the magnitude of the viscous force on a certain layer of a liquid is given by F = - eta A (dv)/(dx) where A is the area of the layer (dv)/(dx) is the velocity gradient at the layer and eta is the coefficient of viscosity of the liquid. The dimensional formula for the coefficient of viscosity is :

When a liquid flows in a tube, there is relative motion between adjacent layers of the liquid. This force is called the viscous force which tends to oppose the relative motion between the layers of the liquid. Newton was the first person to study the factors that govern the viscous force in a liquid. According to Newton’s law of viscous flow, the magnitude of the viscous force on a certain layer of a liquid is given by F = - eta A (dv)/(dx) where A is the area of the layer (dv)/(dx) is the velocity gradient at the layer and eta is the coefficient of viscosity of the liquid. If f is the frictional force between a solid sliding over another solid, and F is the viscous force when a liquid layer slides over another, then :

When a liquid flows in a tube, there is relative motion between adjacent layers of the liquid. This force is called the viscous force which tends to oppose the relative motion between the layers of the liquid. Newton was the first person to study the factors that govern the viscous force in a liquid. According to Newton’s law of viscous flow, the magnitude of the viscous force on a certain layer of a liquid is given by F = - eta A (dv)/(dx) where A is the area of the layer (dv)/(dx) is the velocity gradient at the layer and eta is the coefficient of viscosity of the liquid. A river is 5 m deep. The velocity of water on its surface is 2 ms^(-1) If the coefficient of viscosity of water is 10 ^(-3 ) Nsm ^(-2) , the viscous force per unit area is :

(A) : Force of friction applied by ground on the wheels of a bicycle is always in the direction of motion of the bicycle . (R) : Force of friction always opposes the relative motion between the surfaces in contact .

In the figure shown, force of friction on A from B will always be right wards Friction always opposes the relative motion between two bodies in contact.

In the given arrangement the maximum value of F for which there is no relative motion between the blocks

A container filled with viscous liquid is moving vertically downwards with constant speed 3v_0 . At the instant shown, a sphere of radius r is moving vertically downwards (in liquid) has speed v_0 . The coefficient of viscosity is eta . There is no relative motion between the liquid and the container. Then at the shoen instant, The magnitude of viscous force acting on sphere is

SL ARORA-Mechanical Properties of fluids-Exercise
  1. A block of ice is floating in a liquid of specific gravity 1.2 contain...

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  2. The centre of gravity of the displaced fluid through which the force o...

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  3. The force which tends to destroy the relative motion between liquid la...

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  4. The tangential forces per unit area of the liquid layer required to ma...

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  5. If a tangential force of 1dyne cm^-2 of the surface is required to mai...

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  6. The SI unit of the coefficent of viscosity is

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  7. The viscous force acting on adjacent layers of liquid is

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  8. With increase in temperautre, the viscosity of liquid…….. But viscosit...

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  9. With increase in pressure, the viscosity of liquid ……… but the viscosi...

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  10. Viscosity of gases is pressure

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  11. Liquids ofviscosity are used as buffers for absorbing shocks during th...

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  12. A metal plate of area 0.02m^(2) is lying on a liquid layer of thickne...

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  13. Viscous force is similar to friction in solids but viscous force (a...

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  14. The velocity of water in a river is less on the bank and large in the ...

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  15. The volume of a liquid flowing per second through a capillary tube und...

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  16. The rate of flow of liquid through a capillary tube of length l and ra...

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  17. The backward viscous force acting on a small spherical body falling th...

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  18. The terminal velocity of a sphere of radius R, falling in a viscous fl...

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  19. Two rain drop reach the earth with their with the terminal velocity in...

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  20. A solid rubber ball of density d and radius R falls vertically through...

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