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)

  • [JEE MAIN 2020]
  • A

    $r$

  • B

    $r^{4}$

  • C

    $r^{3}$

  • D

    $r^{2}$

Similar Questions

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

  • [AIEEE 2012]
  • [AIIMS 2004]

A tiny spherical oil drop carrying a net charge $q$ is balanced in still air with a vertical uniform electric field of strength $\frac{81 \pi}{7} \times 10^5 \mathrm{Vm}^{-1}$. When the field is switched off, the drop is observed to fall with terminal velocity $2 \times 10^{-3} \mathrm{~ms}^{-1}$. Given $\mathrm{g}=9.8 \mathrm{~ms}^{-2}$, viscosity of the air $=1.8 \times 10^{-5} \mathrm{Ns} \mathrm{m}^{-2}$ and the density of oil $=$ $900 \mathrm{~kg} \mathrm{~m}^{-3}$, the magnitude of $\mathrm{q}$ is

  • [IIT 2010]

Which of the following graphs best represents the motion of a raindrop?

Define coefficient of viscosity.