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J & K CET Medical J & K - CET Medical 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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