A small metal sphere of radius 'r' and density 'ρ' falls from rest in a viscous liquid of density 'σ' and coefficient of viscosity 'η'. Which expression represents the time 't' it takes for the sphere to attain one-half of its terminal velocity (neglecting buoyancy)?
(2ρr²ln2)/(9η)
(4ρr²ln2)/(9η)
(ρr²ln2)/(9η)
(2ρr²ln3)/(9η)
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