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Question: Answered & Verified by Expert
The terminal velocity of a small sphere of radius $a$ in a viscous liquid is proportional to
PhysicsMechanical Properties of FluidsJEE MainJEE Main 2012 (26 May Online)
Options:
  • A
    $a^2$
  • B
    $a^3$
  • C
    $a$
  • D
    $a^{-1}$
Solution:
2256 Upvotes Verified Answer
The correct answer is:
$a^2$
Terminal velocity in a viscous medium is given by:
$$
\begin{aligned}
& V_T=\frac{2 a^2(\rho-\sigma) g}{9 \eta} \\
& \therefore V_T \propto a^2
\end{aligned}
$$

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