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MHT CET · Physics · Mechanical Properties of Fluids

A disc of paper of radius ' \(R\) ' has a hole of radius ' \(r\) '. It is floating on a liquid of surface tension ' T '. The force of surface tension on the disc is

  1. A \(2 \pi \mathrm{~T}(\mathrm{R}-\mathrm{r})\)
  2. B \(2 \pi \mathrm{~T}(\mathrm{R}+\mathrm{r})\)
  3. C \(3 \pi \mathrm{~T} \cdot \mathrm{R}\)
  4. D \(4 \pi \mathrm{~T}(\mathrm{R}+\mathrm{r})\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2 \pi \mathrm{~T}(\mathrm{R}+\mathrm{r})\)

Step-by-step Solution

Detailed explanation

\( F = T \cdot (2 \pi R + 2 \pi r) \) \( F = 2 \pi T (R + r) \)