JEE Main 2008 Physics question

PhysicsMechanical Properties of FluidsJEE Main 2008

A spherical solid ball of volume is made of a material of density . It is falling through a liquid of density . Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., . The terminal speed of the ball is

Answer: (1)

Solution

At terminal speed: weight = buoyancy + drag: kv_t^2v_t$ =

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Question ID VK-039015