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NEET Sample Paper NEET Sample Test Paper-93

  • 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 (The ratio of their centripetal acceleration is

    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 :

    [c] As their period of revolution is same, so is their angular speed. Centripetal acceleration is circular path, \[a={{\omega }^{2}}r.\] Thus, \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{\omega }^{2}}{{r}_{1}}}{{{\omega }^{2}}{{r}_{1}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\]


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