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JEE Main & Advanced AIEEE Solved Paper-2012

  • question_answer
    Two cars of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] are moving in circles of radii \[{{r}_{1}}\] and \[{{r}_{2}}\], respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is :   AIEEE  Solved  Paper-2012

    A) \[{{m}_{1}}{{r}_{1}}:{{m}_{2}}{{r}_{2}}\]                  

    B) \[{{m}_{1}}:{{m}_{2}}\]

    C) \[{{r}_{1}}:{{r}_{2}}\]                                        

    D) \[1:1\]

    Correct Answer: C

    Solution :

                 They have same \[\omega \]. centripetal acceleration \[={{\omega }^{2}}r\] \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{\omega }^{2}}{{r}_{1}}}{{{\omega }^{2}}{{r}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\]


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