A sphere of radius R is gently dropped into a liquid of viscosity η 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 a terminal velocity

Question

A sphere of radius R is gently dropped into a liquid of viscosity η 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 a terminal velocity, v, 2 v, 4 v, 9 v

MARKS App · Accepted Answer

Terminal velocity v = 2 9 × r 2 ρ - σ g η Hence terminal velocity v ∝ r 2 ∴ v ' v = 2 R 2 R 2 or v ' = 4 v

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