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JEE Main & Advanced Sample Paper JEE Main Sample Paper-14

  • question_answer
    A body moving along a circular path of radius R with velocity v, has centripetal acceleration a. If its velocity is made equal to 2v, then its centripetal acceleration is

    A)  4a                                         

    B)  2a

    C)  \[\frac{a}{4}\]                                  

    D)  \[\frac{a}{2}\]

    Correct Answer: A

    Solution :

     The centripetal acceleration \[a=\frac{{{v}^{2}}}{R}\] or            \[a\propto {{v}^{2}}\] or            \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{v_{1}^{2}}{v_{2}^{2}}\]  \[\therefore \] \[\frac{a}{{{a}_{2}}}=\frac{{{v}^{2}}}{{{(2v)}^{2}}}=\frac{1}{4}\] or            \[{{a}_{2}}=4a\]


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