Question

A small metallic ball moves through a fluid with a
speed vin downward direction, experiences a force
F which acts in upwards direction. Experimentally
the magnitude of this force depends on radius r of
ball, velocity v of ball and viscosity 'n' of fluid. The
correct relation between F, r, v and n is given by​

Answer 1

Force of viscocity F acting on a spherical body moving through a fluid depends upon its velocity (v) coefficient of viscosity (n) and radius (r) of the body. Using method of dimensions obtain an expression of force. the dimensional formula of n is [ML-1T-1].