A small ball of mass M , radius R and density moves with terminal velocity through a container filled with glycerine of density . The viscous force acting on the ball is ( g= gravitational acceleration)

Step-by-step solution

Considering force balance on the ball falling with terminal velocity: F_v+ V g= V g where F_v is the viscous force, V is the volume of the ball. Taking the ratio of equation (1) and (2): F_v=M g (1- )