A small spherical ball of radius r , falling through a viscous medium of negligible density has terminal velocity v . Another ball of the same mass but of radius 2 r , falling through the same viscous medium will have terminal velocity:

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Correct answer: A. v 2

Ignoring buoyancy force, we can write terminal velocity as m g = 6 π η r v ⇒ v ∝ 1 r (as mass is constant) Now, v v ' = r ' r As r ' = 2 r So v ' = v 2

A small spherical ball of radius r , falling through a viscous medium of negligible density has terminal velocity v . Another ball of the same mass but of radius 2 r , falling through the same viscous medium will have terminal velocity:

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