The velocity of small ball of mass $m$ and density $\rho $ when dropped in a container filled with glycerine of density $\sigma $ becomes constant after sometime. The viscous force acting on the ball in the final stage is

  • A

    $mg\left( {\frac{\sigma }{\rho }} \right)$

  • B

    $mg\left( {1 + \frac{\sigma }{\rho }} \right)$

  • C

    $mg\left( {1 - \frac{\sigma }{\rho }} \right)$

  • D

    $mg$

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