JCECE Engineering JCECE Engineering Solved Paper-2009

  • question_answer
    An air bubble of radius \[1\,\,cm\] rises from the bottom portion through a liquid of density \[1.5\,\,g/cc\] at a constant speed of\[0.25\,\,cm\,\,{{s}^{-1}}\]. If the density of air is neglected, the coefficient of viscosity of the liquid is approximately, (In\[Pa)\]

    A) \[13000\]                            

    B) \[1300\]

    C) \[130\]                                 

    D) \[13\]

    Correct Answer: C

    Solution :

                    \[v=\frac{2}{9}\frac{{{r}^{2}}\rho g}{\eta }\] \[\Rightarrow \]               \[\eta =\frac{2}{9}\cdot \frac{{{r}^{2}}\rho g}{v}\]                    \[=\frac{2}{9}\frac{{{(1\times {{10}^{-2}})}^{2}}\times (1.5\times {{10}^{3}})\times 9.8}{0.25\times {{10}^{-2}}}\]


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