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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

The surface tension and vapour pressure of a liquid at \(25^{\circ} \mathrm{C}\) are \(8 \times 10^{-2} \mathrm{Nm}^{-1}\) and \(2.5 \times 10^3 \mathrm{~Pa}\) respectively. The radius of the smallest spherical water droplet which can from without evaporating at \(25^{\circ} \mathrm{C}\) is

  1. A \(64 \mu \mathrm{m}\)
  2. B \(30 \mu \mathrm{m}\)
  3. C \(60 \mu \mathrm{m}\)
  4. D \(32 \mu \mathrm{m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(64 \mu \mathrm{m}\)

Step-by-step Solution

Detailed explanation

The drop will evaporate if the water pressure is greater than the vapour pressure \(\mathrm{P}\). As \(\mathrm{P}=\frac{2 \mathrm{~S}}{\mathrm{R}}\), where \(\mathrm{R}=\) radius of drop…
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