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JEE Main & Advanced Physics Rotational Motion JEE PYQ-Rotational Motion

  • question_answer
    The moment of inertia of a uniform cylinder of length\[\ell \]and radius R about its perpendicular bisector is I. What is the ratio \[\ell /R\]such that the moment of inertia is minimum?                                                          [JEE Main 2017]

    A)   1                               

    B)   \[\frac{3}{\sqrt{2}}\]

    C)   \[\sqrt{\frac{3}{\sqrt{2}}}\]     

    D)        \[\frac{\sqrt{3}}{2}\]

    Correct Answer: C

    Solution :

    [c]
    or                               …..
    Also     
           Put in equation  
    For maxima & minima
          
    Or        
          


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