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

  • question_answer
    If water rises in a capillary tube upto 3 cm. What is the diameter of capillary tube (Surface tension of water\[=\text{ }7.2\text{ }\times {{10}^{2}}N/m\])                                   [RPMT 2002]

    A)             \[9.6\times {{10}^{4}}m\]

    B)                      \[9.6\times {{10}^{3}}m\]

    C)                      \[9.6\times {{10}^{2}}m\]

    D)                      \[9.6\times {{10}^{1}}m\]

    Correct Answer: A

    Solution :

                    \[\ h=\frac{2T\cos \theta }{rdg}\], for water \[\theta =0{}^\circ \] Þ \[r=\frac{2T}{hdg}=\frac{2\times 7.2\times {{10}^{-2}}}{3\times {{10}^{-2}}\times {{10}^{3}}\times 10}=4.8\times {{10}^{-4}}\] \ \[d=2r=9.6\times {{10}^{-4}}\,m\]


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