Question

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

• A. $a^2$
• B. $a^3$
• C. $a$
• D. $a^{-1}$

Answer 1

Answer: (A)

$a^2$

Answer 2

Terminal velocity in a viscous medium is given by : $V_{T} = \frac{3a^{2}\left(\rho-\sigma\right)g}{9\eta}$ $\therefore V_{T} \propto a^{2}$