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JIPMER 2019
Exam
JIPMER
Year
2019
Subject
Physics
Chapter
Mechanical Properties of Fluids

JIPMER 2019 · Physics · Mechanical Properties of Fluids

Find the height of liquid in capillary tube, if surface tension of...

Find the height of liquid in capillary tube, if surface tension of liquid =S=\mathrm{S}, radius of capillary tube =r=\mathrm{r} and acceleration due to gravity =g=\mathrm{g}.

Options

  1. A2Scos⁡θρrg\frac{2 S \cos \theta}{\rho r g}
  2. B2Sρrg⁡cos⁡θ\frac{2 S}{\operatorname{\rho rg} \cos \theta}
  3. C2Ssin⁡θρrg\frac{2 S \sin \theta}{\rho r g}
  4. DNone of these

Correct answer

A. 2Scos⁡θρrg\frac{2 S \cos \theta}{\rho r g}

Step-by-step solution

Height of liquid in a capillary tube (Ascent formula) is given by H=2Scos⁡θρrg\mathrm{H}=\frac{2 S \cos \theta}{\rho \mathrm{rg}} where, S=S= surface tension, ρ=\rho= density of liquid, r=r= radius of capillary and θ=\theta= angle of contact.
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