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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

  • question_answer
    Two bodies of mass 10 kg and 5 kg moving in concentric orbits of radii \[R\] and \[r\] such that their periods are the same. Then the ratio between their centripetal acceleration is                                     [CBSE PMT 2001]

    A)             \[R/r\]  

    B)             \[r/R\]

    C)             \[{{R}^{2}}/{{r}^{2}}\]  

    D)             \[{{r}^{2}}/{{R}^{2}}\]

    Correct Answer: A

    Solution :

                    \[\frac{{{a}_{R}}}{{{a}_{r}}}=\frac{\omega _{R}^{2}\times R}{\omega _{r}^{2}\times r}=\frac{T_{r}^{2}}{T_{R}^{2}}\times \frac{R}{r}=\frac{R}{r}\]      [As\[{{T}_{r}}={{T}_{R}}\]]


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