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CET Karnataka Medical CET - Karnataka Medical Solved Paper-2010

  • question_answer
    Water is in streamline flows along a horizontal    pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is\[10\text{ }c{{m}^{2}}\], the velocity of water is \[1m{{s}^{-1}}\] and the pressure is 2000 Pa. The pressure at another point where the cross-sectional area is \[5\text{ }c{{m}^{2}}\]is

    A)  4000 Pa

    B)  2000 Pa

    C)  1000 Pa

    D)  500 Pa

    Correct Answer: D

    Solution :

    According to equation of continuity \[{{A}_{1}}{{v}_{1}}={{A}_{2}}{{v}_{2}}\] \[10\times 1=5\times {{v}_{2}}\] \[{{v}_{2}}=2m/s\] \[\frac{{{p}_{1}}}{\rho }+\frac{{{v}_{1}}}{2}=\frac{{{p}_{2}}}{\rho }+\frac{v_{2}^{2}}{2}\] \[\frac{2000}{1000}+\frac{{{1}^{2}}}{2}=\frac{{{p}_{2}}}{1000}+\frac{{{2}^{2}}}{2}\] \[\Rightarrow \] \[{{p}_{2}}=500Pa\]


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