JEE Main & Advanced JEE Main Paper (Held On 16 April 2018)

  • question_answer
    A thin circular disk is in the\[xy\] plane as shown in the figure. The ratio of its moment of inertia about z and z? axes will be [JEE Main 16-4-2018]

    A) \[1:2\]                          

    B) \[1:4\]

    C) \[1:3\]                          

    D) \[1:5\]   

    Correct Answer: C

    Solution :

     We know that, the moment of inertia of the circular disk about the center is \[{{M}_{Z}}=\frac{M{{R}^{2}}}{2}\] Using parallel axis theorem, \[M_{Z}^{'}=\frac{M{{R}^{2}}}{2}+M{{R}^{2}}=\frac{3M{{R}^{2}}}{2}\] \[\frac{{{M}_{Z}}}{M_{Z}^{'}}=1/3\]


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