Manipal Medical Manipal Medical Solved Paper-2003

  • question_answer
    Two rain drops falling through air have radii in the ratio\[1:2\]. They will have terminal velocity in the ratio:

    A)  \[4:1\]            

    B)  \[1:4\]

    C)  \[2:1\]            

    D)  \[1:2\]

    Correct Answer: B

    Solution :

     The formula for terminal velocity is given by \[\upsilon =\frac{2}{9}{{r}^{2}}\frac{[g(\rho -\sigma )]}{\eta }\] \[\eta =\]Coefficient of viscocity So,            \[\upsilon \propto {{r}^{2}}\] Hence, \[\frac{{{\upsilon }_{1}}}{{{\upsilon }_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}={{\left( \frac{1}{2} \right)}^{2}}=\frac{1}{4}\]


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