JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Capillarity

  • question_answer
    Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tensions are 60 and 50 dyne/cm respectively Ratio of heights of liquids in the two tubes  \[\frac{{{h}_{1}}}{{{h}_{2}}}\]is [MP PMT 2002]

    A)             \[\frac{10}{9}\]          

    B)             \[\frac{3}{10}\]

    C)             \[\frac{10}{3}\]          

    D)             \[\frac{9}{10}\]

    Correct Answer: D

    Solution :

                    Ascent formula \[h=\frac{2T\cos \theta }{rdg}\]             \[\Rightarrow \frac{{{h}_{1}}}{{{h}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\times \ \frac{{{d}_{2}}}{{{d}_{1}}}\]       (\[r,\ \theta \] and g are constants)             \[\Rightarrow \frac{{{h}_{1}}}{{{h}_{2}}}=\frac{60}{50}\times \frac{0.6}{0.8}=\frac{9}{10}\]


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