question_answer

A solid sphere, of radius R acquires a terminal velocity \[{{v}_{1}}\] when falling (due to gravity) through a viscous fluid having a coefficient of viscosity h. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, \[{{v}_{2}}\], when falling through the same fluid, the ratio \[({{v}_{1}}/{{v}_{2}})\] equals \[\frac{9}{x}\]. Find the value of x.

Answer:

1