MHT CET · Physics · Mechanical Properties of Fluids
' n ' small water drops of same size (radius r ) fall through air with constant velocity V. They coalesce to form a big drop of radius R. The terminal velocity of the big drop is
- A \(\frac{\mathrm{VR}^2}{\mathrm{r}^2}\)
- B \(\frac{\mathrm{Vr}^2}{\mathrm{R}^2}\)
- C \(\frac{\mathrm{VR}}{\mathrm{r}}\)
- D \(\frac{\mathrm{Vr}}{\mathrm{R}}\)
Answer & Solution
Correct Answer
(A) \(\frac{\mathrm{VR}^2}{\mathrm{r}^2}\)
Step-by-step Solution
Detailed explanation
\(n \cdot \frac{4}{3}\pi r^3 = \frac{4}{3}\pi R^3 \Rightarrow R^3 = n r^3\) Terminal velocity \(V_t \propto r^2\)
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