A spherical liquid drop of radius R acquires the terminal velocity \({v}_{1}\) when falls through a gas of viscosity \(\eta\). Now the drop is broken into 64 identical droplets and each droplet acquires terminal velocity \({v}_{2}\) falling through the same gas. The ratio of terminal velocities \({v}_{1}/{v}_{2}\) is ______.

[JEE Main 2026, 8 Apr (Shift 2)]

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A spherical liquid drop of radius R acquires the terminal velocity \({v}_{1}\) when falls through a gas of viscosity \(\eta\). Now the drop is broken into 64 identical droplets and each droplet acquires terminal velocity \({v}_{2}\) falling through the same gas. The ratio of terminal velocities \({v}_{1}/{v}_{2}\) is ______.

[JEE Main 2026, 8 Apr (Shift 2)]

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