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A sphere is dropped under gravity throug...

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.

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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 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?