Terminal velocity of a small sized spherical body of radius r falling vertically in a viscous liquid

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9-1.Fluid Mechanics

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The terminal velocity of a small sized spherical body of radius $r$ falling vertically in a viscous liquid is given by the proportionality

A

$v \propto \frac{1}{r^2}$

B

$v \propto r^2$

C

$v \propto \frac{1}{r}$

D

$v \propto r$

Solution

(b)

$v_T=\frac{2 r^2}{9 \eta}[\sigma-\rho] g$

So, $v_T \propto r^2$

Standard 11

Physics

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