The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is d2, then the viscous force acting on the ball, will be :

Question

The velocity of a small ball of mass 'm' and density d₁, when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is d₂, then the viscous force acting on the ball, will be :

$mg\left( {1 - {{{d_1}} \over {{d_2}}}} \right)$

$mg\left( {1 - {{{d_2}} \over {{d_1}}}} \right)$

$mg\left( {{{{d_1}} \over {{d_2}}} - 1} \right)$

$mg\left( {{{{d_2}} \over {{d_1}}} - 1} \right)$

Solution

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