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9-1.Fluid Mechanics
easy
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
$a^{-1}$
(AIEEE-2012) (AIIMS-2004)
Solution
Terminal velocity in a viscous medium is given by:
${V_r} = \frac{{2{a^2}\left( {\rho – \sigma } \right)g}}{{9\eta }}$
$\therefore {V_T} \propto {a^2}$
Standard 11
Physics
