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J & K CET Engineering J and K - CET Engineering Solved Paper-2009

  • question_answer
    Water flows through a pipe of varying cross-section. Then the ratio of the speeds of water at two points 1 and 2, where the radii of the pipe are \[{{r}_{1}}\] and \[{{r}_{2}}\] is

    A)  \[\frac{r_{2}^{2}}{r_{1}^{2}}\]

    B)  \[\frac{{{r}_{2}}}{{{r}_{1}}}\]

    C)  \[\frac{r_{1}^{2}}{r_{2}^{2}}\]

    D)  \[\frac{{{r}_{1}}}{{{r}_{2}}}\]

    Correct Answer: A

    Solution :

    According to equation of continuity \[{{A}_{1}}{{v}_{1}}={{A}_{2}}{{v}_{2}}\] or \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{{{A}_{2}}}{{{A}_{1}}}=\frac{r_{2}^{2}}{r_{1}^{2}}\]


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