question_answer

A thin wire of length L and uniform linear mass density \[\rho \]  is bent into a circular loop with centre at O.  The moment of inertia of the loop about the axis \[x-x'\]is :

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

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

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

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