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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2003

  • question_answer
    The terminal velocity (\[{{\upsilon }_{t}}\]) of a spherical body of radius r falling in a long vertical column of liquid of viscosity \[\eta \] depends on r and \[\eta \] as follows \[{{\upsilon }_{t}}\] is proportional to

    A)  \[\eta \,r\]                        

    B)         \[\eta \,{{r}^{2}}\]

    C)  \[{{\eta }^{2}}r\]           

    D)         \[\frac{{{r}^{2}}}{\eta }\]

    Correct Answer: D

    Solution :

    Terminal velocity of a spherical ball in a viscous liquid, \[{{\upsilon }_{t}}=\frac{2}{9}\frac{(p-\sigma ){{r}^{2}}g}{\eta }\propto \frac{{{r}^{2}}}{\eta }\]


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