WB JEE Medical WB JEE Medical Solved Paper-2014

  • question_answer
    A small metal sphere of radius a is falling with a velocity \[\upsilon \] through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is \[\eta ,\]then the sphere encounters an opposing force of

    A)  \[6\pi \eta {{a}^{2}}v\]

    B)  \[\frac{6\eta v}{\pi a}\]

    C)  \[6\pi \eta av\]

    D)  \[\frac{\pi \eta v}{6{{a}^{3}}}\]

    Correct Answer: C

    Solution :

     Stokes established that if a sphere of radius a moves with velocity v through a fluid of viscosity \[\eta ,\]the viscous force opposing the motion of the sphere is \[F=6\pi \eta av\]


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