A solid sphere of volume & experiences a viscous force F when descending with a speed V in a liquid. If another solid sphere of volume 27v descends with the same speed in the same liquid , it experiences a verous force.
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Given = solid sphere
various force = F
Speed = V
solid sphere = 27v
to find = force in liquid medium
solution =
apply the stoke`s law
F = 6πηR₁v
V = 4/3πR³...{ volume in solid sphere }
F = 6πηR₂v
27V = 4/3π2R³..{volume in liquid }
so, by calculating
F = 9F
same speed in the same liquid , it experiences a verous force.i.e. 9F
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