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VMMC VMMC Medical Solved Paper-2010

  • question_answer
    Two rain drops of same radius r, falling with terminal velocity v merge and from a bigger drop of radius R. The terminal velocity of the bigger drop is

    A) \[v\frac{R}{r}\]                 

    B)        \[v\frac{{{R}^{2}}}{{{r}^{2}}}\]

    C)  v                            

    D)         2v

    Correct Answer: B

    Solution :

    Terminal velocity \[v=\frac{2}{9}\frac{{{r}^{2}}(\rho -\sigma )g}{\eta }\] \[\therefore \]  \[v\propto {{r}^{2}}\]                 \[\frac{v}{V}=\frac{{{r}^{2}}}{{{R}^{2}}}\] \[V=\frac{v{{R}^{2}}}{{{r}^{2}}}\]


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