Q79 / 90 · JEE Main 2012 (26 May Online) · Physics

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

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

Solution

Terminal velocity in a viscous medium is given by: $$ \begin{aligned} & V_T=\frac{2 a^2(\rho-\sigma) g}{9 \eta} \\ & \therefore V_T \propto a^2 \end{aligned} $$

Hence, the correct answer is option: 'A'.

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