A spherical liquid drop of radius R acquires the terminal velocity v_1 when falls through a gas of viscosity η. Now the drop is broken into 64…

A spherical liquid drop of radius $\displaystyle R$ acquires the terminal velocity $\displaystyle v_1$ when falls through a gas of viscosity $\displaystyle \eta$. Now the drop is broken into $\displaystyle 64$ identical droplets and each droplet acquires terminal velocity $\displaystyle v_2$ falling through the same gas. The ratio of terminal velocities $\displaystyle v_1 / v_2$ is $\displaystyle \_\_\_\_$.