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Question: Answered & Verified by Expert
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)
PhysicsMechanical Properties of FluidsAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)
Options:
  • A $\sqrt{\frac{R-r}{\rho r R}}$
  • B $\frac{6 \mathrm{TrR}}{\rho(\mathrm{R}-\mathrm{r})}$
  • C $\sqrt{\frac{6 \mathrm{~T}}{\rho}\left(\frac{\mathrm{R}-\mathrm{r}}{\mathrm{rR}}\right)}$
  • D $\frac{6 \mathrm{~T}(\mathrm{R}-\mathrm{r})}{\rho \mathrm{R}}$
Solution:
1361 Upvotes Verified Answer
The correct answer is: $\sqrt{\frac{6 \mathrm{~T}}{\rho}\left(\frac{\mathrm{R}-\mathrm{r}}{\mathrm{rR}}\right)}$
No solution. Refer to answer key.

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