AP 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)
- A \(\frac{2 \pi T}{\rho g}\)
- B \(\frac{\pi T^2}{\rho g}\)
- C \(\frac{2 \pi T^2}{\rho g}\)
- D None of these
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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