In an experiment to verify Stokes law, a small spherical ball of radius $r$ and density $\rho$ falls under gravity through a distance $h$ in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of $h$ is proportional to :

(ignore viscosity of air)

  • A$r$
  • B$r^{4}$
  • C$r^{3}$
  • D$r^{2}$
JEE MAIN 2020, Medium
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