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BCECE Engineering BCECE Engineering Solved Paper-2014

  • question_answer
    Two water pipes of diameters 2 cm and 4 cm are connected with the main supply line. If velocity of flow of water in the pipe of 4 cm diameter is X, then velocity in 2 cm diameter is

    A) 2X                                          

    B) 4X

    C) 6X                                          

    D) 8X

    Correct Answer: B

    Solution :

    \[{{d}_{A}}=2cm\] and \[{{d}_{B}}=4cm\] \[{{r}_{A}}=1cm\] and \[{{r}_{B}}=2cm\] From equation of continuity, Av = constant \[\frac{{{X}_{A}}}{{{X}_{B}}}=\frac{{{a}_{B}}}{{{a}_{A}}}=\frac{\pi {{({{r}_{B}})}^{2}}}{\pi {{({{r}_{A}})}^{2}}}={{\left( \frac{2}{1} \right)}^{2}}\]                 \[\Rightarrow \]               \[{{X}_{A}}=4X\]


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