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Q.

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

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a

vmgr/η

b

vmgηr

c

vmg/rη

d

vηmg/r

answer is C.

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Detailed Solution

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VT=2 R2(ρ-σ)g9η

     VTα R3gRη

VTαmgηr

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