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JEE Mains · Physics · STD 11 - 9.2 surface tension

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, \(5 cm\). If the tube is dipped in a similar manner in another liquid \(B\) of surface tension and density double the values of liquid \(A\), the height of liquid column raised in liquid \(B\) would be \(........m\).

  1. A \(0.20\)
  2. B \(0.5\)
  3. C \(0.05\)
  4. D \(0.10\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(0.05\)

Step-by-step Solution

Detailed explanation

\(h =\frac{2 S \cos \theta}{ r \rho g }\) \(\frac{ h _1}{ h _2}=\frac{ S _1}{ S _2} \frac{\rho_2}{\rho_1}\) \(\frac{5}{ h _2}=\left[\frac{1}{2}\right]\left[\frac{2}{1}\right] \Rightarrow h _2=5\,cm =0.05\,m\) Info about angle of contact not there so most appropriate is \(3\)
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