NEET Sample Paper NEET Sample Test Paper-51

  • question_answer ) Water is flowing through a cylindrical pipe of cross-section area \[0.0971\text{ }{{m}^{2}}\] at a speed of\[1.0\text{ }m/s\]. If the diameter of the pipe is halved, then find the speed of flow of water through it-

    A) \[4.0\text{ }m/s\]                       

    B) \[6.0\text{ }m/{{s}^{2}}\]

    C) \[4.0\text{ }m/{{s}^{2}}\]                   

    D) \[6.0\text{ }m/s\]

    Correct Answer: A

    Solution :

    \[{{A}_{1}}=0.09\text{ }\pi {{m}^{2}},~~~~{{\nu }_{1}}=1\text{ }m/s\] \[=\pi {{r}^{2}}\] \[{{A}_{2}}=\pi {{\left( r/2 \right)}^{2}}\,\,{{\nu }^{2}}=?\] \[{{A}_{1}}{{\nu }_{1}}={{A}_{2}}{{\nu }_{2}}\] \[(\pi {{r}^{2}})=\frac{\pi {{r}^{2}}}{4}{{\nu }^{2}}\] \[{{V}_{2}}=4\text{ }m/s\]

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