A number of small water droplets of surface tension ' $T$ ', each of radius ' $r$ ' are combined to form a…

A number of small water droplets of surface tension ' $T$ ', each of radius ' $r$ ' are combined to form a single drop of radius ' $R$ '. If the released energy is converted into kinetic energy, then the velocity acquired by the bigger drop is ____ ($\rho$ - density of water)
  1. $\sqrt{\frac{R-r}{\rho r R}}$
  2. $\frac{6 \mathrm{TrR}}{\rho(\mathrm{R}-\mathrm{r})}$
  3. $\sqrt{\frac{6 \mathrm{~T}}{\rho}\left(\frac{\mathrm{R}-\mathrm{r}}{\mathrm{rR}}\right)}$
  4. $\frac{6 \mathrm{~T}(\mathrm{R}-\mathrm{r})}{\rho \mathrm{R}}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 1)

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