JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Self Evaluation Test - Mechanical Properties of Fluids

  • question_answer
    Radius of a capillary is\[2\times {{10}^{-3}}m\]. A liquid of weight \[6.28\times {{10}^{-4}}N\] may remain in the capillary then the surface tension of liquid will be

    A) \[5\times {{10}^{-3}}N/m\]

    B) \[5\times {{10}^{-2}}N/m\]

    C) \[5N/m\]

    D) \[50N/m\]

    Correct Answer: B

    Solution :

    [b] \[W=mg=\rho (\pi {{r}^{2}}h)g\] \[or\,\,\,W\simeq \rho (\pi {{r}^{2}})\times \left( \frac{2T}{\rho rg} \right)g\,\,\,\,or\,\,W=2\pi rT\] \[\therefore \,\,\,T=\frac{W}{2\pi r}=\frac{6.28\times {{10}^{4}}}{2\pi \times 2\times {{10}^{-3}}}=5\times {{10}^{-2}}N/m\]


You need to login to perform this action.
You will be redirected in 3 sec spinner