JEE Main & Advanced Physics Rotational Motion Question Bank Self Evaluation Test - System of Particles Rotational Motion

  • question_answer
    A particle moving in a circular path has an angular momentum of L. If the frequency of rotation is halved, then its angular momentum becomes

    A) \[\frac{L}{2}\] 

    B) L

    C) \[\frac{L}{3}\]

    D) \[\frac{L}{4}\]

    Correct Answer: A

    Solution :

    [a] Angular momentum of particle is given by: \[L=m{{r}^{2}}\omega =2\pi m{{r}^{2}}f\]           \[[\because W=2\pi f]\] If frequency is halved then, \[L'=m{{r}^{2}}\frac{\omega }{2}=\pi m{{r}^{2}}f\,\,\,\,\,\,\,\,\,\therefore L'=\frac{L}{2}\]


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