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Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    Two cars A and B move along a concentric circular path of radius \[{{r}_{A}}\]and \[{{r}_{B}}\] with velocities \[{{v}_{A}}\]and \[{{v}_{B}}\] maintaining constant distance, then \[\frac{{{v}_{A}}}{{{v}_{B}}}\]is equal to

    A)  \[\frac{{{r}_{B}}}{{{r}_{A}}}\]                                    

    B) \[\frac{{{r}_{A}}}{{{r}_{B}}}\]

    C)  \[\frac{r_{A}^{2}}{r_{B}^{2}}\]                 

    D)        \[\frac{r_{B}^{2}}{r_{A}^{2}}\]

    Correct Answer: B

    Solution :

    Angular velocity\[\omega \]is constant. \[\therefore \]  \[v\propto r\]or\[\frac{{{v}_{A}}}{{{v}_{B}}}=\frac{{{r}_{A}}}{{{r}_{B}}}\]


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