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TS EAMCET · Physics · Thermal Properties of Matter

The heat evolved for the rise of water when one end of the capillary tube of radius \(r\) is immersed vertically into water is (Assume surface tension \(=T\) and density of water to be p)

  1. A \(\frac{2 \pi T}{\rho g}\)
  2. B \(\frac{\pi T^2}{\rho g}\)
  3. C \(\frac{2 \pi T^2}{\rho g}\)
  4. D None of these
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Answer & Solution

Correct Answer

(C) \(\frac{2 \pi T^2}{\rho g}\)

Step-by-step Solution

Detailed explanation

Water rise to height, \(h=\frac{2 T}{\rho g r}\) Potential energy of water column, \(U=\frac{m g h}{2}=\frac{2 \pi T^2}{\rho g}\) The work performed by force of surface tension is \(W=2 \pi r T h=\frac{4 \pi T^2}{\rho g}\) From conservation of energy the heat evolved,…
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