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JIPMER Jipmer Medical Solved Paper-2012

  • question_answer
    The cylindrical tube of a spray pump has a cross-section of 8\[c{{m}^{2}},\], one end of which has 40 fine holes each of area\[{{10}^{-8}}{{m}^{2}}.\] If the liquid flows inside the tube with a speed of 0.15 m\[{{\min }^{-1}},\] the speed with which the liquid is ejected through the holes is

    A)  50 m/s                  

    B)         5 m/s

    C)  0.05 m/s          

    D)         0.5 m/s

    Correct Answer: B

    Solution :

    From equation of continuity, \[{{a}_{1}}{{v}_{1}}={{a}_{2}}{{v}_{2}}\] \[\left( 8\times {{10}^{-4}} \right)\times \left( \frac{0.15}{60} \right)=\left( 40\times {{10}^{-8}} \right)\times v\] \[v=\frac{(8\times {{10}^{-4}})\times 0.15}{60\times 40\times {{10}^{-8}}}\]    \[=5\,m\text{/}s.\]


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