question_answer

A thin wire of length L and uniform linear mass density \[\rho \] is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis XX? 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) \[\frac{3\rho {{L}^{3}}}{8{{\pi }^{2}}}\]