A solid sphere of radius \( R \) acquires a terminal velocity \( v_{1} \) when falling (due to g...

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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 \( \eta \). 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 \( \left(v_{1} / v_{2}\right) \) equals
[JEE (Main) 2019]
(a) 27
(b) \( 1 / 27 \)
(c) \( 1 / 9 \)
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