A sphere is dropped under gravity through a fluid of viscosity `eta`. Taking the average acceleration as half of the initial acceleration, show that the time to attain the terminal velocity is independent of the fluid density.

A sphere is dropped under gravity through a fluid of viscosity eta . Taking the average ac celeration as half of the initial ac celeration, show that the time to attain the terminal velocity is independent of the fluid density.

A small steel ball of mass m and radius r is falling under gravity through a viscous liquid of coefficient of viscosity eta . If g is the value of acceleration due to gravity. Then the terminal velocity of the ball is proportional to (ignore buoyancy)

When a sphere falling in a viscous fluid attains a terminal velocity, then

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?

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 solid sphere, of radius R acquires a terminal velocity v_1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity eta he sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity v _2 when falling through the same fluid, the ratio (v_1//v_2 ) equals:

A car is accelerated on a lavelled road and attains a velocity 4 times of its initial velocity. In this process, the potential energy of the car

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 sphere of radius R is gently dropped into liquid of viscosity eta in a vertical uniform tube. It attains a terminal velocity v. Another sphere of radius 2 R when dropped into the same liquid, will attain its teriminal velocity.