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WB JEE Medical WB JEE Medical Solved Paper-2006

  • question_answer
    A metal plate of area \[\text{1}{{\text{0}}^{\text{3}}}\,\text{c}{{\text{m}}^{\text{2}}}\]rests on a layer of oil 6 mm thick. A tangential force of \[{{10}^{-2}}\,\text{N}\]is applied on it to move it with a constant velocity of \[6\,\text{cm}{{\text{s}}^{-1}}.\] The coefficient of viscosity of the liquid is :

    A)  0.1 poise            

    B)  0.5 poise

    C)  0.7 poise            

    D)  0.9 poise

    Correct Answer: A

    Solution :

                     \[\eta =\frac{F}{A(dv/dy)}\] \[\therefore \]  \[\eta =\frac{{{10}^{-2}}}{({{10}^{3}}\times {{10}^{-4}})\left( \frac{6\times {{10}^{-2}}}{6\times {{10}^{-3}}} \right)}=\frac{{{10}^{-2}}\times 6\times {{10}^{-3}}}{{{10}^{-1}}\times 6\times {{10}^{-2}}}\] \[={{10}^{-2}}N-s-{{m}^{2}}=0.1\]Poise


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