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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • 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 viscosity 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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