TS EAMCET · Physics · Mechanical Properties of Fluids
A spherical drop of radium r is divided in to 8 equal droplets. If the surface tension is S, then the work done in the process will be
- A \(2 \pi r^2 S\)
- B \(3 \pi r^2 S\)
- C \(4 \pi r^2 \mathrm{~S}\)
- D \(4 \pi r^2 S^2\)
Answer & Solution
Correct Answer
(C) \(4 \pi r^2 \mathrm{~S}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{U}_{\mathrm{i}}=\mathrm{S} \times 4 \pi \mathrm{r}^2 \\ & \text { as, } \mathrm{V}_{\mathrm{i}}=\mathrm{V}_{\mathrm{f}} \\ & \Rightarrow \frac{4}{3} \pi \mathrm{r}^3=8 \times \frac{4}{3} \pi \mathrm{r}^{\prime 3} \\ & \Rightarrow \mathrm{r}=2…
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