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JEE Main & Advanced Sample Paper JEE Main Sample Paper-35

  • question_answer
    A thin wire of length L and uniform linear mass density p is bent into a circular loop with centre at The moment of inertia of the loop about the tangent to the loop in its plane \[x-x'\] is:

    A)  \[\frac{\rho {{L}^{3}}}{8{{\pi }^{2}}}\]                                   

    B)  \[\frac{\rho {{L}^{3}}}{16{{\pi }^{2}}}\]

    C)  \[\frac{5\rho {{L}^{3}}}{16{{\pi }^{2}}}\]                               

    D)  \[\frac{3\rho {{L}^{3}}}{8{{\pi }^{2}}}\]

    Correct Answer: D

    Solution :

    For the wire \[2\pi r=L,\,m=\rho L\] and \[I=\frac{3m{{r}^{2}}}{2}\]


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