A spherical solid body is dropped inside a vast expanse of viscous liquid of large depth and of coefficient of viscosity `eta`. The density of the solid is greater than that of the liquid. The time taken by the body to attain the `90%` of the steady state velocity is dependent on

A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity eta . After some time the velocity of the ball attains a constant value known as terminal velocity upsilon_T . The terminal velocity depends on (i) the mass of the ball m (ii) eta , (iii) r and (iv) acceleration due to gravity g . Which of the following relations is dimensionally correct?

A spherical ball of radius r and density d is dropped from rest in a viscous fluid having density rho and coefficient of viscosity eta . (a) Calculate the power (P_(1)) of gravitational force acting on the ball at a time t after it is dropped. (b) Calculate the rate of heat generation (P_(2)) due to rubbing of fluid molecules with the ball, at time t after it is dropped. (c) How do P_(1) and P_(2) change if the radius of the ball were doubled? (d) Find P_(1) and P_(2) when both become equal.

A spherical ball of diameter 1 cm and density 5xx10^(3)kg m^(-3) is dropped gently in a large tank containing viscous liquid of density 3xx10^(3)kgm^(-3) and coefficient of viscosity 0.1 Nsm^(-2) . The distance that the ball moves n 1 s after attaining terminal velocity is (g=10ms^(-2))

The viscous force on a spherical body, when it moves through a viscous liquid, depends on the radius of the body, the coefficient of viscosity of the liquid and the velocity of the body.Find an expression for the viscous force.

A large drop of oil whose density is less than that of water, floats up through a column of water assume that the oil an the water do not mix. The coefficient of viscosity of the oil is eta_(@) and that of water is eta_(W) the velocity of the drop will depend on

A small spherical ball of radius r falls with velocity upsilon through a liquid having coeffiecinet of viscosity eta. find viscous darg F on the wall if it depends or r, upsilon, eta. Take K = 6 pi

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 :

A spherical ball of mass 4m, density sigma and radius r is attached to a pulley-mass system as shown in figure. The ball is released in a liquid of coefficient of viscosity eta and density rho(lt(sigma)/(2)) . If the length of the liquid column is sufficiently long, the terminal velocity attained by the ball is given by (assume all pulleys to be massless and string as massless and inextensible):

The terminal velocity v of a small steel ball ofradius r fal ling under gravity through a column ofa viscous liquid of coefficient of viscosity eta depends on mass of the ball m, acceleration due to gravity g, coefficient of viscosity eta and radius r. Which of the following relations is dimensionally correct?