Fluid Mechanics

JEE Main level, single correct, medium

23 of 192

Question 23 of 192

The terminal velocity of a small sphere of radius aa in a viscous liquid is proportional to

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Answer: (A) a2a^2

Terminal velocity in a viscous medium is given by:
VT=2a2(ρ−σ)g9η∴VT∝a2\begin{aligned} & V_T=\frac{2 a^2(\rho-\sigma) g}{9 \eta} \\ & \therefore V_T \propto a^2 \end{aligned}

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