A large number of droplets, each of radius \( a \), coalesce to form a bigger drop of radius \( ...

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A large number of droplets, each of radius \( a \), coalesce to form a bigger drop of radius \( b \). Assume that the energy released in the process is converted into the kinetic energy
\( \mathrm{P} \) of the drop. The velocity of the drop is ( \( \sigma= \) surface tension,

W \( \rho= \) density)
(1) \( \left[\frac{\sigma}{\rho}\left(\frac{1}{a}-\frac{1}{b}\right)\right]^{1 / 2} \)
(2) \( \left[\frac{2 \sigma}{\rho}\left(\frac{1}{a}-\frac{1}{b}\right)\right]^{1 / 2} \)
(3) \( \left[\frac{3 \sigma}{\rho}\left(\frac{1}{a}-\frac{1}{b}\right)\right]^{1 / 2} \)
(4) \( \left[\frac{6 \sigma}{\rho}\left(\frac{1}{a}-\frac{1}{b}\right)\right]^{1 / 2} \)
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