NEET Sample Paper NEET Sample Test Paper-15

  • question_answer A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity\[\omega \]. Two objects each of mass m, are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity

    A) \[\frac{\omega M}{M+m}\]               

    B) \[\frac{\omega (M-2m)}{M+2m}\]

    C) \[\frac{\omega M}{M+2m}\]             

    D) \[\frac{\omega (M+2m)}{M}\]   

    Correct Answer: C

    Solution :

    In the absence of external torque, angular momentum remains constant. \[L=l\omega =l'\omega '\] or \[M{{R}^{2}}\omega =(M+2m){{R}^{2}}\omega '=\frac{\omega M}{M+2m}\] Hence, the correction option is [c].

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