AP EAMCET · PHYSICS · Mechanical Properties of Fluids
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)
- 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 \(\frac{6 \mathrm{~T}(\mathrm{R}-\mathrm{r})}{\rho \mathrm{R}}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{\frac{6 \mathrm{~T}}{\rho}\left(\frac{\mathrm{R}-\mathrm{r}}{\mathrm{rR}}\right)}\)
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