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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    A body is moving in a circular path with acceleration a. If its velocity gets doubled, find the ratio of acceleration after and before the change :

    A)  1 : 4                                      

    B)  \[\frac{1}{4}:1\]

    C)  2 : 1                                      

    D)  4 : 1

    Correct Answer: D

    Solution :

    In a circular motion                    \[a=\frac{{{v}^{2}}}{r}\] \[\therefore \]  \[\frac{{{a}_{2}}}{{{a}_{1}}}={{\left( \frac{{{v}_{2}}}{{{v}_{1}}} \right)}^{2}}\]                       \[={{\left( \frac{2{{v}_{1}}}{{{v}_{1}}} \right)}^{2}}=4\]


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