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A large number of liquid drops each of radius \( a \) are merged to from a single spherical drop of radius \( b \) . The energy released in the process is converted into kinetic energy of the big drop formed. The speed of the big drop is [ \( \rho= \) density of liquid, \( T= \) surface tension of liquid]
(a) \( \left[\frac{6 T}{\rho}\left(\frac{1}{a}-\frac{1}{b}\right)\right]^{1 / 2} \)
(b) \( \left[\frac{6 T}{\rho}\left(\frac{1}{b}-\frac{1}{a}\right)\right]^{1 / 2} \)
(c) \( \left[\frac{\rho}{6 T}\left(\frac{1}{a}-\frac{1}{b}\right)\right]^{1 / 2} \)
(d) \( \left[\frac{\rho}{6 T}\left(\frac{1}{b}-\frac{1}{a}\right)\right]^{1 / 2} \)
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