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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

  • question_answer
        The maximum tension which an inextensible ring of mass 0.1 kg/m can bear is 10 N. The maximum velocity in m/s with which it can be rotated is

    A)  10                         

    B)  \[\sqrt{10}\]

    C)  20                                         

    D)  15

    Correct Answer: A

    Solution :

                    From the relation, \[T=\mu {{r}^{2}}{{\omega }^{2}}=\mu {{v}^{2}}\]\[(\because v=r\omega )\] Or           \[{{v}^{2}}=\frac{T}{\mu }\] Or           \[v=\sqrt{\frac{T}{\mu }}\] \[\therefore \]  \[v=\sqrt{\frac{10}{0.1}}\] Or           \[v=\sqrt{100}=10\,m/s\]


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