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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

In a cylinder provided with a piston, air is under pressure \(P_1\) at a constant temperature ' \(t\) '. A soap bubble with radius ' \(r\) ' and surface tension ' \(\mathrm{T}\) ' is lying inside the cylinder. To reduce the radius of the soap bubble to half, the required air pressure inside the cylinder is

  1. A \(8 \mathrm{P}_1+\frac{24 \mathrm{~T}}{\mathrm{r}}\)
  2. B \(8 \mathrm{P}_1+\frac{3 \mathrm{~T}}{\mathrm{r}}\)
  3. C \(8 \mathrm{P}_1+\frac{2 \mathrm{~T}}{\mathrm{r}}\)
  4. D \(8 \mathrm{P}_1+\frac{12 \mathrm{~T}}{\mathrm{r}}\)
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(A) \(8 \mathrm{P}_1+\frac{24 \mathrm{~T}}{\mathrm{r}}\)

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