CMC Medical CMC-Medical VELLORE Solved Paper-2009

  • question_answer
    A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum. The radial force acting on the particle is

    A)  pmr                                      

    B)  \[\frac{rm}{p}\]

    C)  \[\frac{m{{p}^{2}}}{r}\]                               

    D)  \[\frac{{{p}^{2}}}{rm}\]

    Correct Answer: D

    Solution :

                     Linear momentum is given by \[p=mv\Rightarrow v=\frac{p}{m}\] \[\therefore \] Centripetal force, \[F=\frac{m{{v}^{2}}}{r}\] \[=\frac{m{{\left( \frac{p}{m} \right)}^{2}}}{r}=\frac{{{p}^{2}}}{rm}\]


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