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 $\eta$. 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 $\left( \frac { v _ { 1 } } { v _ { 2 } } \right)$ equals:
(1) $\frac { 1 } { 9 }$
(2) 27
(3) $\frac { 1 } { 27 }$
(4) 9