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

  • question_answer
    Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by \[75\times {{10}^{-4}}N\] force due to the weight of the liquid. If the surface tension of water is \[6\times {{10}^{-2}}\,N{{m}^{-1}}\], the inner circumference of the capillary must be      [CPMT 1988, 86]

    A)             \[1.25\times {{10}^{-2}}m\]

    B)                      \[0.50\times {{10}^{-2}}m\]

    C)             \[6.5\times {{10}^{-2}}m\]

    D)                       \[12.5\times {{10}^{-2}}m\]

    Correct Answer: D

    Solution :

                    \[6\times {{10}^{-2}}\times \]Circumference = Force                     \[\therefore \] Circumference \[=\frac{75\times {{10}^{-4}}}{6\times {{10}^{-2}}}=12.5\times {{10}^{-2}}m\]


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