$A$ small metal sphere of radius $a$ is falling with a velocity $v$ through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is $\eta$,then the sphere encounters an opposing force of

  • A
    $6\pi \eta {a^2}v$
  • B
    $\frac{6\eta v}{\pi a}$
  • C
    $6\pi \eta av$
  • D
    $\frac{\pi \eta v}{6 a^3}$

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