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A fluid of density rho and viscosity ...

A fluid of density `rho` and viscosity `eta ` is kept in a container .The container is accelerating in horizontal direction with acceleration a . A Small solid sphere of radius r and density `rho//2` is held at the base of the container and released The distance travelled by the sphere in attaining half the terminal velocity is ` s = (rho r^(2) v_(tau))/(k eta) [ In (2) - 1/2 ] ` . Find the value of k .

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