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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

Consider a circular ring of radius \(1,4 \mathrm{~cm}\) lying on the surface of a liquid. If a vertical force of \(0.022 \mathrm{~N}\) greater than the weight of the ring is required to lift this ring from the liquid surface, then the surface tension of the liquid is

  1. A \(0.085 \mathrm{Nm}^{-1}\)
  2. B \(0.125 \mathrm{Nm}^{-1}\)
  3. C \(0.250 \mathrm{Nm}^{-1}\)
  4. D \(0.465 \mathrm{Nm}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.125 \mathrm{Nm}^{-1}\)

Step-by-step Solution

Detailed explanation

The given situation is shown below. Force required to lift the ring, \(F=2 \pi(r+r) \times T+W\) \(\Rightarrow \quad F=4 \pi r T+W\) Now given, \(F=0.022+W\) and \(\quad r=1.4 \mathrm{~cm}\) So, \(0.022+W=4 \pi \times 1.4 \times T+W\)…