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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 η . 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 :

1. 1/9
2. 1/27
3. 9
4. 27

Correct answer: 9

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