Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2009

  • question_answer
    The terminal velocity of spherical ball of radius a falling through a viscous liquid a proportional to

    A)  \[a\]                                    

    B)  \[{{a}^{2}}\]

    C)  \[{{a}^{3}}\]                                     

    D)  \[{{a}^{-1}}\]

    Correct Answer: B

    Solution :

    If a spherical body of radius a is dropped in a viscous fluid, it is first accelerated and then its acceleration becomes zero and it attains a constant velocity called terminal velocity. Terminal velocity, \[v=\frac{2}{9}\frac{{{a}^{2}}(\rho -\sigma )g}{\eta }\]where p is the density of the body, o is the density of fluid and \[\eta \] is coefficient of viscosity.


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